Question

(a+b)(a²+b²)(a-b)(a⁴+b⁴)

Answer 1

Step-by-step explanation:

Factorisation Identities

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.

Answer 2

Step-by-step explanation:

(a+b)×(a-b)×(a²+b²)×(a⁴+b⁴)