Question

expand 8a³+b³12a²b+6ab²
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Answer 1

Answer:

8a3+b3+12a2b + 6ab2

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

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

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

Using (x+y)=x³ + y² + 3xy(x + y)

Putting x = 2a, y = b

= (2a + b)³

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