factorise:-
a²(b+c)-(b+c)³
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Step-by-step explanation:
Given:
Factorise a² (b+c)−(b+c)³
Solution:- (A) (b+c)(a²−(b+c)²)
Let b+c=x.
∴a²(b+c)−(b+c)³
=a²x−x³
⇒=x(a²−x²)
∵x=b+c
∴a²(b+c)−(b+c)³
=(b+c)(a²−(b+c)²)
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