donuticecream donuticecream

13-07-2020
Mathematics

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which of the following represents the factorization of the binomial below? 81x^2-25y^2

which of the following represents the factorization of the binomial below 81x225y2 class=

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hoodini2 hoodini2

13-07-2020

B. (9x - 5y) • (9x + 5y)

Multiply out to see why:

9x (9x + 5y) - 5y ( 9x +5y)

81x^2 + 45xy - 45xy - 25y^2

Middle 2 terms cancel to obtain

81x^2 - 25y^2

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09pqr4sT 09pqr4sT

13-07-2020

Answer:

B. (9x - 5y)(9x + 5y)

Step-by-step explanation:

Rewrite the binomial as:

(9x)² - (5y)²

Apply difference of two squares formula.

x² - y² = (x - y)(x + y)

(9x)² - (5y)² = (9x - 5y)(9x + 5y)

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