HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944
Answers
Answer:
C
Step-by-step explanation:
Ed2021
The missing coefficient of xy² is 972, option C is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³
To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.
According to the binomial theorem, the expansion of (a + b)^3 is:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Comparing this with the given polynomial, we can see that a = 9x and b = -2y.
Substituting these values in the binomial theorem, we get:
(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³
Simplifying this expression, we get:
729x³ - 1,458x²y + 972xy² - 8y³
Therefore, the missing coefficient of xy² is 972, option C is correct.
To learn more on Polynomials click:
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Answers
Answer:
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I cAn Do mAtH!!
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Answers
I'm assuming you're asking for x.
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2nd equation:
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[tex]x=-\frac{1}{4} , \frac{21}{4}[/tex]
Step-by-step explanation:
Isolate the absolute value signs by adding 2 to both sides of the equation.
[tex]|10-4x|=11[/tex]Create a positive and negative case to solve for absolute value problems.
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Answers
Answer:
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Step-by-step explanation:
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factorizing:
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base = (5 + 20) = 25 yards.
HELPPPPPPPPPP
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Step-by-step explanation:
i hope you get it right