Question

please factorise this x^3 - 8

Answer 1

Step-by-step explanation:

x cube + 2xsquare + 4x - 2xsquare - 4x - 8

x(x square + 2x + 4) - 2(x square + 2x +4)

(x - 2)(x square + 2x + 4)

Answer 2

${x}^{3} - 8 \\ \\ = {x}^{3} - {2}^{3}$

∴ According to the formula,

$\green{Formula,a³ - b³ = (a - b)(a² + ab + b²)}$

$∴{x}^{3} - {2}^{3}=(x-2)(x^2+2x+2^2) \\ \\ =\green{\boxed{(x-2)(x^2+2x+4)}}$