Question

How do you factor `p^2q^2-12pq+36`?

Answer 1

`p^2q^2-12pq+36 = (pq - 6)(pq - 6)`

Explanation:

Given: `p^2q^2-12pq+36`

This can be factored directly when we treat `pq` as a single variable that can be broken down later into two terms when their relationship is defined. To answer the question, solve for `pq`.

Looking at the expression, we see there will be two sets of brackets because of the `p^2q^2` and there will be two `-` signs due to the `+36` and the `-12`.

`p^2q^2-12pq+36 = (pq - 6)(pq - 6)`