Question

Factrise 8a³ + b³ + 12a²b + 6ab² ........

Answer 1

Hey mate,

answer is (2a+b)³

bcoz:

(a+b) ³=a³+b³+3a²b+3ab²

if we take:

(2a+b)³=(2a)³+b³+3.(2a)².b. +3.2a.b²

so, 8a³+b³+12a²b+6ab²

Hope it will help you

Answer 2

Heya User

$8 {a}^{3} + {b}^{3} + 12 {a}^{2} b + 6a {b}^{2} \\ \\ = \geqslant (2 {a}^{}) ^{3} + {b}^{3} + 6ab \: (2a + b) \\ \\ = \geqslant (2 {a})^{3} + {b}^{3} + 3 \times 2a \times - b \: (2a - b) \\ \\ = \geqslant (2a + ( - b)) ^{ 3} = (2a - b) {}^{3}$