Question

How do you factor `9s²+12s+4`?

Answer 1

`9s^2 +12s +4 = (3s+2)(3s+2)`

Explanation:

Notice that both `9 and 4` are perfect squares.

This expression is the square of a binomial.
`2xx3xx2=12`

`9s^2 +12s +4 = (3s+2)(3s+2)`

We have factors of `9 and 4` whose products add up to `12`

`(a+b)^2 = a^2 +2ab+b^2`