y4+5y2+9 factorise please help me​

Y4+5y2+9 Factorise Please Help Me

Answers

Answer 1

[tex]\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)[/tex]

Answer 2

Answer:

Solution given;

[tex] y^{4}+5y²+9[/tex]

keeping [tex]y^{4} and 9 together [/tex]

[tex]y^{4}+9+5y²[/tex]

[tex](y²)²+3²+5y²[/tex].....[I]

we have

a²+b²=(a+b)²-2ab

or

a²+b²=(a-b)²+2ab

same like that

[tex](y²)²+3²=(y²+3)²-6y² or (y²-3)²+6y²[/tex]

remember that while adding or subtracting the left term 5y² either adding 6y²or subtracting 6y²

should make the term perfect square

while subtracting it makes perfect square

so

we take

(y²)²+3²=(y²+3)²-6y²

again

substituting value of

(y²)²+3² in equation 1 and it becomes

(y²+3)²-6y²+5y²

solve like terms

(y²+3)²-y²

again

we have

a²-b²=(a+b)(a-b)

by using this.

(y²+3+y)(y²+3-y)

rearrange it

(y²+y+3)(y²-y+3) is a required factorisation form.


Related Questions

Can x3 – 3x + 1 be the quotient on division of x5+ 2x3 + x – 1 by a polynomial in x of degree 3? Justify​

Answers

Answer:

No

Step-by-step explanation:

x⁵ + 2x³ + x - 1  -> degree of  the polynomial is 5

So, when x⁵ is divided by x³, the quotient should be x⁵⁻³ = x².

So, x³ - 3x + 1 cannot be a quotient

Solvex - 7x - 34 = 10 halo pls helppppppp

Answers

Answer:

x-7x-34=10

-6x-34=10

Step-by-step explanation:

x=-22/3

x - 7x - 34 = 10
-6x - 34 = 10
-6x = 10 + 34
-6x = 44
x = -22/3

Find the center and radius of the circle. Help !!

Answers

Answer:

the center is -1,1 and the radius is 4 i think

Step-by-step explanation:

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?

Answers

Answer:

f=x−32

Step-by-step explanation:

Subtract 3232 from both sides.

Answer:

f=32.2m

Step-by-step explanation:

got it right on edge

HOW TO I REMEMEBER MULTIPLICATION (I NEVER PAYED ATTENTION IN MATH LOL) AND I CANT SEEM TO REMEMEBER IT :(
I NEED TO REMEMBER 1-12

Answers

which multiplication problem you need ?

Use the factors of the numbers to explain why
45 x 56 = 5 x 7 x 8 x 9

Answers

Answer:

45 x 56=

2520 and

5 x 7=35*8=280*9=2520

2520=2520

Hope This Helps!!!

Can ya’ll help me out

Answers

Answer:

Step-by-step explanation:

[tex]volume of cone=\frac{1}{3} \pi r^2h\\=\frac{1}{3} \pi (4)^2 \times 3\\=16 \pi \\\approx 50 in^3[/tex]

Answer:

answer is C 50 in³are you fine with it

Determine the period.
N
10

Answers

Hello,

f(x+5)=f(x)

Periode is 5

Answer:

It's 4 on acellus, not 5 :)

Step-by-step explanation:

help I need help with my homework no link please BTW its 9th grade work I need help with number 1 a) I still need help with it​

Answers

Answer:

you need to learn how to "prime factor" numbers....

primes are 2,3,5,7,11,13,17....

they go on forever. ALL whole numbers can be "broken down" into a bunch of primes multiplied together.

take the fractions (top and bottom) and start dividing them bu the smallest prime, and going up until all the numbers multiplied make the original number...

15 = 3 * 5

24= 2 * 12 = 2 * 2 * 6 = 2* 2* * 2 * 6

thus   [tex]\frac{15}{24}[/tex] = [tex]\frac{3 * 5 }{2* 2* 2* 3}[/tex]  now just cancel all the SAME numbers from to to bottom

"pair them up" .... in this case only one of the threes in the bottom "takes out" one of the threes in the top

result [tex]\frac{5}{2*2*2 } = \frac{5}{8}[/tex]

~~~~~~~~~~~~~~~~~~~~

[tex]\frac{21}{35}[/tex]

21= 3 * 7

35= 5* 7

[tex]\frac{3*7}{5*7} = \frac{3}{5}[/tex]

Step-by-step explanation:

if each square is 2cm long then the perimeter is

Answers

Answer:

for each square the perimeter would be length times width. so 2x2 =4

Now if there are multiple squares then the answer would be different. but 4 is the answer for the individual square.

Angle A and B are supplementary angles. The measure of angle B is twice the measure of angle A minus 24. Find the measure of the angle A and B.

Answers

Answer:

A = 58

B = 112

Step-by-step explanation:

A + B = 180                           Supplementary angles

B = 2A - 24                           Given

Substitute for B in the first equation

A + 2A - 24  = 180

3A - 24 = 180                         Add 24 to both sides

3A = 180 + 24                        Combine the right

3A = 204                               Divide both sides by 3

A = 204/3

A = 68

B = 2A - 24

B = 2*68 - 24

B = 136 - 24

B = 112

What is the coefficient of x3 in the expansion of (2x−3)5?

Group of answer choices

a) -360

b) 720

c) 10

d) -5

e) -120

Answers

Answer:

B 720

Step-by-step explanation:

same process as the previous image I sent ya

Answer:

B) 720.

Step-by-step explanation:

We can use the Binomial Expansion Theorem:

[tex]\displaystyle (a+b)^n=\sum_{k=0}^{n}\binom{n}{k}a^kb^{n-k}[/tex]

We have the expression:

[tex]\displaystyle (2x-3)^5[/tex]

Therefore, a = 2x, b = -3, and n = 5.

We want to find the coefficient of . To get x³, we can cube a. Therefore, we can find our coefficient by letting k = 3. Hence:

[tex]\displaystyle \binom{5}{3}(2x)^3(-3)^{5-3}[/tex]

Evaluate:

[tex]\displaystyle =10(8x^3)(9)=720x^3[/tex]

Our answer is B.

HELP ME PLZ!!
-x - 1 = 221 + 2x

Answers

If I did it correctly, the answer is -74=x

Answer:

[tex]-x\:-\:1\:=\:221\:+\:2x[/tex]

[tex]-x-1+1=221+2x+1[/tex][tex]-x=2x+222[/tex][tex]-x-2x=2x+222-2x[/tex][tex]-3x=222[/tex][tex]\frac{-3x}{-3}=\frac{222}{-3}[/tex]

[tex]\hookrightarrow Answer:x=-74[/tex]

-------------------------

hope it helps...

have a great day!!

PLS HELP SOON WILL MARK BRAINLYEST

A railroad tunnel is shaped like a semi-ellipse, as shown below. A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis. The height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. Find an equation for the ellipse.

Answers

According to the question

b= 35 and (8,21) lies on the ellipse

After calculation we get a= 10

equation for the ellipse.

[tex] \frac{ {x}^{2} }{100} + \frac{ {y}^{2} }{1225} = 1[/tex]

WOrth 10 pts ... pls help

Answers

With what give more detail and explanation and I’ll help

line I is parallel to line m.if the maesure of angle 6 is 75 what is the measure of angle 3

Answers

Answer:

105

Step-by-step explanation:

l is parallel m so angle 3+angle 6=180

Helpppp ,I will mark you brainlist

Answers

Answer:

Okay

Step-by-step explanation:

So the answer would be the one under 3 or C . 10 rebounds 20 points 40 points

How many marbles do you need to be able to arrange them into the shape of an equilateral triangle with 75 rows

Answers

Answer:

2850

Step-by-step explanation:

1+2+3+4+5+6+7...74+75

just add up all the numbers from 1 to 75

I need help pls !!!!!!!

Answers

The answer is c because scales are usually 2x smaller

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

X would be 63.9

Hope it helps

Step-by-step explanation:

The value of the variable 'x' using the cosine formula will be 63.9 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠QSR. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 35° = x / 78

x = 63.9

The value of the variable 'x' using the cosine formula will be 63.9 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ7

Subtract 11.485-18.38

Answers

Answer:

-6.895

Step-by-step explanation:

11.485

-18.38

______

-6.895

A man borrows $800 for 2 years at a simple interest rate of 20%. What is the total amount that must be repaid

Answers

Answer: [tex]\$1120[/tex]

Step-by-step explanation:

Given

Man borrows $800 for 2 years

Rate of interest is R=20%

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

Insert the values

[tex]\Rightarrow S.I.=\dfrac{800\times 20\times 2}{100}\\\\\Rightarrow S.I.=\$320[/tex]

So, total payable amount is

[tex]\Rightarrow 800+320\\\Rightarrow \$1120[/tex]

find the value of x in each case

Answers

Step-by-step explanation:

180-(90° +32°)

180- 122= 58

triangle =180°

180° - (58° +58°)

180° - 116°= 64°

Answer:

x=64

Step-by-step explanation:

∠A = 180-(90°+32°)

=> ∠A=180-122= 58

Angle sum property in Triangle=180°

=> x = 180° - (58°+58°)

=> x = 180° - 116°= 64°

What is the answer to this question?

Answers

Answer:

yeah,I think it's 16 ...

A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve children. (Hint: 1 cup = 8 fluid ounces and 1 pint = 16 fluid ounces.)

Answers

Answer:

20 children

Step-by-step explanation:

We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.

Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.

Answer:

20 childrenyjvvvvggguggggyg

Please help me w the answer

Answers

Answer:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

[tex]\frac{()}{(x-4)(x-5)}[/tex]

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled

[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Find the measure of the missing angle using the triangle angle sum theorm

Answers

Answer:

31°

Step-by-step explanation:

The theorem states that all angle sums of any triangle add up to 180°.

128 + 21 = 149, and to find ?°, subtract 149 from 180 to get 31°.

Help ASAP
Determine reflections (advanced)
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'.

Answers

Answer:

Line that connects points (0,4) to (4,0)

Step-by-step explanation:

Just imagine where you should fold the paper to overlap one figure on another

A group of friends wants to go to the amusement park. They have $214.25 to spend on parking and admission. Parking is $6.75, and tickets cost $20.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

10 friends can go to the amusement park

Step-by-step explanation:

214.25 = 6.75 + 20.75x

207.50 = 20.75x

x = 10 friends can go

7x+14
2x2 + x-6
What is the GCF

Answers

i will solve it first i need full form

Answer:

When i tried solving it, there was no GCF except for 1.

However, the GCF of the numerator is 7

Other Questions
Can someone help me with this math homework please! Por qu es importante el ao 1776? alguien me ayuda plis As an estimation we are told 5 miles is 8 km. Convert 17.8 km to miles. In order to successfully carry out an acquisition, the managers at Pink Inc. prepared a list of potential target companies that it could purchase. In the next step, the managers evaluated each prospective company in depth to understand their methods of operations, processes, procedures, strengths, and limitations in order to choose the best target company. This process of evaluating the companies is best known as:___________. A- Due diligence B- Market intelligence C- Consultation D- Market evaluation Carly is the principal at a middle school and wants to know the average IQ of all the female, seventh-grade students. She does not know anything about what the population distribution looks like. She took a simple random sample of 31 seventh-grade girls in her school and found the average IQ score in her sample was 105.8 and the standard deviation was 15. Assume that all conditions are met, construct the 96% Confidence interval for the average IQ score of all seventh-grade girls in the school. Which processcauses waterdroplets to collecton the outside of aglass with ice andwater in it? Which problem has a greater (bigger) answer? Solve both, choose the one that has the bigger answer and explain (1-2 sentences) how you found youranswer.1) (2 + 3) (5 + 5)2)2 + 3 x 5 + 5 =I need help pleaseeee The first law of thermodynamics defines chemical energy. defines entropy. is a statement of conservation of energy. provides a criterion for the spontaneity of a reaction. Problem: Construct a triangle with interior angle measures of 60 and 60. Let one of the side lengths be 10. What are the lengths of the other sides? Question 10 of 10Identify the coordinating ideas that are not expressed in similar form.A. Sara wrote a problem on the board, and while she was eating, shesolved the problem.B. He likegfried rice, and she enjoyed haggis.C. Felix wandered into the billiard room, and Shannon followed him.D. All of the above are expressed in similar form. What do the opposing positions of Kim and her husband tell us about the pluralistic society we live in Solve (x + 3)2 + (x + 3) 2 = 0. 4. Bonus: A computer programmer was toldthat he would be given a bonus of 5% of anymoney his programs could save the company.How much would he have to save the companyto earn a bonus of $500? How many degrees are in a quarter circle? 25 40 90 100 ILL GIVE BRAINLIEST PLZ ANSWER why can't I see the answeres please help a and b How Is the physical geography influenced The location of the largest US cities, such as New York, Los Angeles, and Chicago?A. These cities were built close to where the nations Electric generating stations were located at the Time.B. These cities were built in places that receive the consistent rainfall needed to support farming. C. These cities were located near oceans because their early Industries depended on easy access to shipping lanes.D. These cities are located near water because when they were first settled, water was the main method of traveling. Write on the formation of fruits and seeds as well as alternation of generation in bryophytes. Help me please I will mark you as brainliest