Question

How do you simplify `(x-3)^2-4(x-3)+3`?

Answer 1

`(x-6)(x-4)`

Explanation:

Let `u=x-3`

Hence, `(x-3)^2-4(x-3)+3` becomes `u^2-4u+3`

Solving for u: `(u^2-4u+3=(u-3)(u-1)`
Therefore, subbing `u=x-3` back into the equation
`(x-3-3)(x-3-1)=(x-6)(x-4)`