Question

Factorise 8a³ +b³ +12a²b +6ab²​

Answer 1

Answer:

Step-by-step explanation:

8a3 + b3 + 12a2b + 6ab2

SOL: 8a3 + b3 + 12a2b + 6ab2

= (2a)3 + (b)3 + 12a2b + 6ab2

= (2a)3 + (b)3 + 6ab (2a + b)

= (2a)3 + (b)3 + 3(2a)(b) (2a + b)

BY USING (x + y)3 = x3 + y3 + 3xy(x + y)

Putting x = 2a, y = b

= (2a + b)3

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