30 POINTS PLEASE HELP ASAP


Given the expression: 4x^10 − 64x^2


Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)


Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

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Answer:

Answers are below

Step-by-step explanation:

Part A: 4x^2(x^8 - 16)

Part B: 4x^2(x^8 - 16)      Factor

Keep 4x^2 on the outside and factor (x^8 - 16).

4x²([tex]x^{4}[/tex]+4)(x²+2)(x²−2)

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The answer for Part A: section is 4x^2(x^8 - 16)

What is factorization?

In mathematics, factorization or factoring consists of writing a number of or any other mathematical object as a product of several factors, typically smaller or easier objects of the identical type.

The general factorization formula is expressed as N = Xa × Yb × Zc. here, a, b, and c constitute the exponential powers of the factors of a factorized number.

The answer for Part B: section is Factor

Keep 4x^2 on the outside and factor (x^8 - 16).

4x²([tex]x^{4}[/tex]+4)(x²+2)(x²−2)

Learn more about factorization here https://brainly.com/question/20293447

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