Question

Simplify :- (a²-b²)²

Answer 1

Given :-

• $(a {}^{2} - b {}^{2} ) {}^{2}$

Solution :-

$\implies(a {}^{2} - b {}^{2} ) {}^{2}$

$\implies(a {}^{2} ) {}^{2} - 2 \: \times \: a {}^{2} \: \times \: b {}^{2} \: + \: (b {}^{2} ) {}^{2}$

$\implies \: a {}^{4} \: - \: 2a {}^{2}b {}^{2} \: + \: b {}^{4}$

Answer 2

(a^2-b^2)^2

=(a^2)^2 - 2*a^2*b^2 + (b^2)^2

=a^4 - 2(ab)^2 + b^4