Question

Factorize each of the following algebraic expressions:

9a2 – 24a2b2 + 16b4 – 256

Answer 1

We have,

9a2 – 24a2b2 + 16b4 – 256

= (3a2)2 – 2 (4a2) (3b2) + (4b2)2 – (16)2

= (3a2 – 4b2)2 – (16)2

= (3a2 – 4b2 + 16) (3a2 – 4b2 – 16)