Question

Is `9x^2 − 6x + 1` a perfect square trinomial and how do you factor it?

Answer 1

Yes.

`9x^2-6x+1 = (3x)^2-(2xx3x xx1)+1^2 = (3x-1)^2`

You can recognise a perfect square trinomial as it takes the form:

`A^2+-2AB+B^2 = (A+-B)^2`