Question

What is the factored form of _________?

Answer 1

Answer:

C

Step-by-step explanation:

The expression given is a difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

8$x^{24}$ = (2$x^{8}$)³ ⇒ a = 2$x^{8}$

27$y^{6}$ = (3y²)³ ⇒ b = 3y²

Hence 2 factors are

(2$x^{8}$ - 3y²) and

((2$x^{8}$)² + (2$x^{8}$ × 3y²) + (3y²)²)

= (4$x^{16}$ + 6$x^{8}$y² + 9$y^{4}$)

Hence the factored form of the expression is C