Question

factorize the following a4 -16a2b2 +64b4

Answer 1

APPROPRIATE QUESTION:-

Factorize:   a⁴-16a²b²+64b⁴

EXPLANATION:-

Here we will use identity of :

(a+b)²=a²+2ab+b²

>a⁴-16a²b²+64b⁴=(a²)²+2(a²)(8b²)+(8b)²

Now using the identity mentioned above we get,

>a⁴-16a²b²+64b⁴=(a²+8b²)²

So the factorized form of a⁴-16a²b²+64b⁴ is (a²+8b²)²