Question

Factorise 24a²-36ab-24b²

Answer 1

$24 {a}^{2} - 36ab - 24 {b}^{2} \\ \\ = 12(2 {a}^{2} - 3ab - 2 {b}^{2} ) \\ \\ = 12(2 {a}^{2} - 4ab + ab - 2 {b}^{2} ) \\ \\ = 12 [2a(a - 2b) + b(a - 2b)]\ \\ = 12(a - 2b)(2a + b)$

I hope this helps.