Question

Please I need answers Factorize x²-6x+9

Answer 1

The factors of the given equation are:

`x^2-6x+9=(x-3)(x-3)=(x-3)^2`

Explanation:

We have :

`x^2-6x+9`

Using middle term splitting theorem to factorize the expression :

`x^2-3x-3x+9`

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

`(x-3)(x-3)`

`x^2-6x+9=(x-3)(x-3)=(x-3)^2`

The factors of the given equation are:

`x^2-6x+9=(x-3)(x-3)=(x-3)^2`