Factorize:
We know that,
a3 + b3 + c3 – 3abc = (a + b + c) (a2 + b2 + c2 – ab – bc – ca)]
Using this formula, we get
= (a)3 + (2
b)3 + (c)3 – 3 (
a) (2
b) (c)
= ( + 2
b + c) [(
)2 + (2
b)2 + (c)2 – (
) (2
b) – (2
b) (c) – (c) (
a)]
= ( + 2
b + c) (2a2 + 8b2 + c2 – 4ab – 2
bc –
ac)