Question

Factorise :- a^4 - b^4

Answer 1

Given :-

• a⁴ - b⁴

Solution :-

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

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

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

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

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

Answer 2

Factorise :- a^4 - b^4...