Which is equivalent to 16 to the power of 3/which is the factorization of x3 + 8? (x + 2)(x2 – 2x + 4) (x – 2)(x2 + 2x + 4) (x + 2)(x2 – 2x + 8) (x – 2)(x2 + 2x + 8)

A) 16 to the power of 3 (16^3)

All these are equivalent forms to 16^3



And the result is 4,096.

B) x^3 + 8

1) Notice that x^3 + 8 is equivalent to: x^3 + 2^3

2) Use the notable quotient:

x^3 + a^3      
------------- = x^2 - xa + a^2 => x^3 + a^3 = (x + a) (x^2 - xa + a^2).
    x + a

replacing a with 2:

x^2 + 2^3 = (x + 2)(x^2 - 2x + 4), which is the first option.

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