Question

*WILL GIVE BRAINLIESTAND 5 STARS*

Answer 1

Steps to solve:

$6x^1^0 - 96x^2$

~Apply exponent rule

$6x^8x^2 - 96x^2$

~Rewrite the second half of the expression

$6x^8x^2 - 6 * 16x^2$

~Factor out common term

$6x^2(x^8 - 16)$ (Answer for Part A)

~Factor out whats in parenthesis

$6x^2(x^4)^2 - 4^2$

~Apply the difference of the two squares

$6x^2(x^4 + 4)(x^4 - 4)$

~Factor x^4 + 4

$6x^2(x^2 + 2)(x^2 - 2)(x^4 - 4)$

~Factor x^4 - 4

$6x^2(x^2 + 2x + 2)(x^2 - 2x + 2)(x^2 + 2)(x^2 - 2)$ (Answer for Part B)

Part A: $6x^2(x^8 - 16)$

Part B: $6x^2(x^2 + 2x + 2)(x^2 - 2x + 2)(x^2 + 2)(x^2 - 2)$

Best of Luck!

Answer 2

Answer:

A) 6x²(x⁸ - 16)

B) 6x²(x⁴ + 4)(x² - 2)(x² + 2)

Step-by-step explanation:

A)

6x¹⁰ - 96x²

6x²(x⁸ - 16)

B) 6x²(x⁸ - 16)

6x²[(x⁴)² - 4²]

6x²[(x⁴ - 4)(x⁴ + 4)]

6x²(x⁴ + 4)[(x²)² - 2²]

6x²(x⁴ + 4)(x² - 2)(x² + 2)