If a = 2, what is the simplified form of the expression below? (x - a) (x^2 + ax + a^2)

x³+8

Step-by-step explanation:

(x - a) (x^2 + ax + a^2)

a=2

Substitute a for 2 in the algebraic expression

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

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

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

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

x³+2x²+4x-2x²-4x-8

Collect like terms

x³+2x²-2x²+4x-4x+8

x³+8

Answer:x^3+2x^2+4x-ax^2-2ax-4a