Question

Factorise x + 2 whole cube + x - 2 whole cube

Answer 1

Step-by-step explanation:

(x+2)^3+(x-2)^3

use (a+b)^3= a^3+b^3+3ab^2+3a^2b

and (a-b)^3=a^3+b^3+3ab^2-3a^2b

then

x^3+2^3+3.x.2^2+3.x^2.2+x^3+2^3+3.x.2^2-3.x^2.2

=2x^3+16+12x+6x^2+12x-6x^2

=2x^3+12x+12x+0

=2x^3+24x

=2x(x^2+12)

Hope it helps

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