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marshall27 [118]
3 years ago
8

30 POINTS!! Help me please!

Mathematics
1 answer:
RSB [31]3 years ago
7 0

128 x/3

a.

cheers mate

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Given the expression: 5x^10-80x^2 Part A: Rewrite the expression by factoring out the greatest common factor
Jlenok [28]

Answer:

A) 5x²(x^(8) - 16)

B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

Step-by-step explanation:

We are given the expression;

5x^(10) - 80x²

A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.

So, we have;

5x²(x^(8) - 16)

B) The complete factorization of 5x²(x^(8) - 16) will be;

5x²[(x⁴ + √16) • (x⁴ - √16)]

Now, (x⁴ - √16)] can be broken than further into;

(x² + ∜16) • (x² - ∜16)

Also, (x² - ∜16) can be broken down into;

[(x + (8√16) • (x - (8√16))

So, our complete factorization gives us;

5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

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72 divided by 2 is 32

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