Question

Factorise a⁴ - b⁴

answer this question​

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

Answer 2

Answer:

(a-b) (a+b) (a²+b²)

Step-by-step explanation:

a⁴ - b⁴

By using identity: (x²-y²) = (x-y) (x+y)

(a²)² - (b²)²

(a²-b²) (a²+b²)

Again we use this identity: (x²-y²) = (x-y) (x+y)

(a-b) (a+b) (a²+b²)