Question

Fully factorise
X^3 - 100

Answer 1

(x-10)(x²+10x+100)

Explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)