Expand and combine like terms.

(4b^2+3)(4b^2-3)

Answer:

16b^4-9

Step-by-step explanation:

Factoring gives us 16b^4+12b^2-12^2-9. Simplifying gives us the answer which is 16b^4-9

Answer:

[tex]16b^4-9[/tex]

Step-by-step explanation:

When multiplying binomials, we can use a method called FOIL (First-Outside-Inside-Last).

For [tex](t_1+t_2)(t_3+t_4)[/tex], let:

[tex]t_1\implies \text{First Term},\\t_2\implies \text{Second Term},\\t_3\implies \text{Third Term},\\t_4\implies \text{Fourth Term}[/tex]

In the FOIL method, the steps go:

[tex]\text{\textbf{F}irst: Multiply the first and third terms (first term of each binomial)},\\\text{\textbf{O}utside: Multiply the first and fourth terms},\\\text{\textbf{I}nside: Multiply the second and third terms},\\\text{\textbf{L}ast: Multiply the second and fourth terms (last term of each binomial) }[/tex]

Given [tex](4b^2+3)(4b^2-3)[/tex], we have:

[tex]\text{First: }4b^2\cdot 4b^2,\\\text{Outside: }4b^2\cdot -3,\\\text{Inside: }3\cdot 4b^2,\\\text{Last: }3\cdot -3,\\\rightarrow 16b^4-12b^2+12b^2-9[/tex]

Combine like terms:

[tex]\boxed{16b^4-9}[/tex]

Find each percent of change. State whether the percent increase or decrease. Please show your work.
A) Original : 55 New : 75
B) Original : 233 New : 200

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


Solve the following equation.




[tex]\frac{5}{13} t = -9[/tex]

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve,
4x + 6 < -6

Question on file. 30 pts. pls help

Brain to first correct answer

The wheels ona bike have a diameter of 26 inches. How many full revolutions will the wheels need to make to travel 100 feet?

Which integer represents a gain of 4 yards in a football game?

You are using a hose to fill up your backyard swimming pool on a hot day. Water flows out of the hose at a rate of 6 gallons per minute. In the equation below, m is the number of minutes the hose has been running, and g is the number of gallons of water in the pool.
The relationship between these two variables can be expressed by the following equation:
g=6m,
Identify the dependent and independent variables.

can yall please help me, include steps

Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card randomly from the deck, records its type, and replaces it in the deck. Jamie has already recorded nine baseball cards and 11 football cards. Based on these data, what is, most likely, the number of baseball cards in the deck?

A. 20
B. 22
C. 25
D. 27

Please don't just give me an answer please give me a explanation because I'd like to know how to do this equation next time it seems so familiar but I just can't remember besides if you do I'll give you brainly ! = )

What is 50% of 174.95?Thanks.

please help -

Mr. Day bought a lawn mower with his credit card for $400. The interest rate on the card is 24% (0.24) per year. If payment is not made on time, the credit card company charges a late fee of $30. Mr. Day does not make a payment for the first month. What would be the interest, late fee, and new total he owes?

Brain to first correct answer!

A.1.5
B.9
C.20
D.22
plsss answer as fast as u can

the first person that answers and there answer is correct i will give u brainliest

Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11

Help! Find the answers pleaseeeeee

Look at the two patterns below: Pattern A: Starts from 9 and follows the rule "add 8" Pattern B: Starts from 9 and follows the rule "add 2" Select the statement that is true. The terms in Pattern A are 4 times the corresponding terms in Pattern B The terms in Pattern B are one fourth the corresponding terms in Pattern A. The first five terms in Pattern A are 0, 9, 17, 26, 35. The first five terms in Pattern B are 9, 11, 13, 15, 17.

4) Last week Kathryn ran 8.6 miles more
than Jaidee. Kathryn ran 22.3 miles. How
many miles did Jaidee run?

Need help with third question!!!!!!!!!!

Can someone help me with this question? I’ll mark as brainliest if correct!

Enter a digit in each box to complete the division problem.

Harry collects data from a random sample of seventh-graders. Out of 25 respondents, 10 ride the bus home. Of the 150 seventh-graders who attend Harry’s school, how many would be expected to ride the bus to school?

Winnie picks a 2-digit number. Grogg doubles the ones digit of winnie's number. He adds the result to tens digit of winnie's number. Grogg's final anwser is the same as winnie's number What is Winnie's number?
I'LL GIVE YOUR A BRAINLST

can someone help me with this question? i’ll mark as brainliest if correct! thanks

Taivon is training for a running and biking race. The biking part of the race is longer than the running part, so while Taivon trains, he wants to bike more than he runs. He decides that for every 4 miles he runs, he wants to bike 16 miles. How far should Taivon bike if he runs 8 miles?

Maria needs to make 6 gallons of lemonade. She only has a 1 quart pitcher to use for measuring. How many times will she need to fill the pitcher to make 6 gallons?

Find the volume! It’s due soon.

Please explain for me. Thx/5 star/brainliest/19 pts/ cookie

Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sales tax on the sale price of the bicycle.

To represent his total cost, Leon writes the expression shown. 1.05(x – 0.2x). Which expression also represents Leon’s total cost?

help plzzzzzzzzzzzzzzzzzzzzz