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3 years ago

What is the factorization of the polynomial below?

Mathematics

2 answers:

Dennis_Churaev [7]3 years ago

8 0

<h2>Steps:</h2>

So for this, we will be applying the <u>difference of squares</u> rule, which is $x^2-y^2=(x+y)(x-y)$ . In this case:

$\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)$

<h2>Answer:</h2>

<u>In short, your answer is A. (2x + 5)(2x - 5).</u>

katrin [286]3 years ago

5 0

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

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to solve this equation we would say that

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x + y = 5 .............................. equation 1

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x + y = 6 .................................... equation 2

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