Question

Q.29. Find the Factors of given expression {a⁴- (b+c)⁴}​

Answer 1

Answer:

We need to factorise a⁴−(b+c)⁴

The given expression can be factorised by using property (x²−y²)=(x+y)(x−y)

It can be written as

a⁴−(b+c)⁴=(a² ) 2−[(b+c)²] ²

Here x=a² ,y=(b+c)²

Hence, (a⁴−(b+c)⁴ )=(a²+(b+c)²)(a ²−(b+c)²)

=(a ²+(b+c)²)(a+b+c)(a−b−c)

Hence, the factors are (a²+(b+c)² ),(a+b+c),(a−b−c).