Question

8a3 + b3 + 12a²b + 6ab²​

Answer 1

Answer:

$\rm8a³ + b³ +12a²b + 6ab²$

$\rm\longrightarrow(2a) (b)³ + 12a²b + 6ab²$

$\rm\longrightarrow(2a)³ + (b)3 + 6ab (2a + b)$

$\rm \longrightarrow(2a)³ + (b)3 + 3(2a)(b) (2a + b)$

• Using (x+y)=x² + y² + 3xy(x + y)

Putting x = 2a, y = b

= (2a + b)³

= (2a + b) (2a + b) (2a + b)