Question

How do you simplify `(x ^ { 2} - 1) ( x ^ { 2} - 6x + 9)`?

Answer 1

`(x+1)(x-1)(x-3)(x-3)`

Explanation:

`(x^2-1)(x^2-6x+9)`
Factorize

`=(x+1)(x-1)(x^2-3x-3x+9)`
`=(x+1)(x-1)(x(x-3)-3(x-3))`
`=(x+1)(x-1)(x-3)(x-3)`