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How do you factor #9s²+12s+4#?

1 Answer

Aug 3, 2017

#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#

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