Question

Factorise 8acube -b cube -12a square b+6a b square

Answer 1

Step-by-step explanation:

$8 {a}^{3} - {b}^{3} - 12 {a}^{2} b + 6a {b}^{2}$

$= {(2a)}^{3} - {(b)}^{3} - (3) {(2a)}^{2}(b) + (3)(2a) {(b)}^{2}$

This becomes an identity.

${(a - b)}^{3} = {a}^{3} - {b}^{3} - 3 {a}^{2}b + 3a {b}^{2}$

Hence , the answer is

$= {(2a - b)}^{3}$

I hope it helps you. If you have any doubts, then don't hesitate to ask.