Question
Factor polynomial $$ 25x^{2}-120xy+144y^{2} $$
Answer
$$ 25x^{2}-120xy+144y^{2} = (5x-12y)(5x-12y) $$
Explanation
Note that the polynomial $ 25x^2-120xy+144y^2 $ 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 = 5x } $ and $ \color{red}{ B = 12y } $ so,
$$ 25x^2-120xy+144y^2 = ( \color{blue}{ 5x } - \color{red}{ 12y } )^2 $$This page was created using
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