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harina [27]
3 years ago
8

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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