How do you factor $9s²+12s+4$ ?

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Answer 1 · 2017-08-03T15:44:21

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

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 $12$

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

How do you factor 9s²+12s+49s²+12s+4?