Question

A^3-a+b^3-b
Factorise​

Answer 1

`\\ \rm\longmapsto a^3-a+b^3-b`

• Take a common first

`\\ \rm\longmapsto a(a^2-1)+b^3-b`.

Take out b common

`\\ \rm\longmapsto a(a^2-1)+b(b^2-1)`

`\\ \rm\longmapsto (a+b)(a^2-1)(b^2-1)`

Answer 2

Explanation:

a^3-a+b^3-b = a³+b³-a-b

= a³+b³ - (a+b)

= (a+b)(a²-ab+b²) - (a+b)

= (a+b) (a²-ab+b²-1)