Question

factorise a⁴ - b⁴
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Answer 1

Answer:

a⁴ - b⁴ = (a²)² - (b²)² = (a² + b²)(a² - b²) = (a² + b²)(a + b)(a - b); three factors.

a⁴ - b⁴ = {(a²+b²)(a+b)}(a-b) = {a³ + ab(a+b)+ b³}(a-b); two factors.

a⁴ - b⁴ = {(a²+b²)(a-b)}(a+b) = {a³-ab(a-b)-b³}(a+b); two factors.