Factorize:
2a3 + 16b3 – 5a – 10b
We know that,
a3 + b3 = (a + b) (a2 – a × b + b2)
Using this formula, we get
= 2 (a3 + 8b3) – 5 (a + 2b)
= 2 [(a)3 + (2b)3] – 5 (a + 2b)
= 2 (a + 2b) [(a)2 – a (2b) + (2b)2] – 5 (a + 2b)
= (a + 2b) [2 (a2 – 2ab + 4b2) – 5]