Question

How do you factor: `3x^2(x + 1)-2(x + 1)`?

Answer 1

`(x+1)(sqrt3x+sqrt2)(sqrt3x-sqrt2)`

Explanation:

Taking common `(x+1)`
the given expression becomes
`(x+1)(3x^2-2)`
`(x+1)((sqrt3x)^2-(sqrt2)^2)`
`(x+1)(sqrt3x+sqrt2)(sqrt3x-sqrt2)`