Question

How do you factor `81x^2 – 36x + 4`?

Answer 1

`81x^2-36x+4 = (9x-2)^2`

Explanation:

This is a perfect square trinomial in the form:

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

as we can see:

`81x^2-36x+4 = (9x)^2-2(9x)(2)+2^2 = (9x-2)^2`