Question
Factor polynomial $$ 9x^{2}y^{2}+12xy+4 $$
Answer
$$ 9x^{2}y^{2}+12xy+4 = (3xy+2)(3xy+2) $$
Explanation
Note that the polynomial $ 9x^2y^2+12xy+4 $ is a perfect square trinomial, so we will use the following formula.
$$ A^2 + 2AB + B^2 = (A + B)^2 $$In this example we have $ \color{blue}{ A = 3xy } $ and $ \color{red}{ B = 2 } $ so,
$$ 9x^2y^2+12xy+4 = ( \color{blue}{ 3xy } + \color{red}{ 2 } )^2 $$This page was created using
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