Factor polynomial $$ 9a^{2}-24ab+16b^{2} $$
Answer
$$ 9a^{2}-24ab+16b^{2} = (3a-4b)(3a-4b) $$
Explanation
Note that the polynomial $ 9a^2-24ab+16b^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 = 3a } $ and $ \color{red}{ B = 4b } $ so,
$$ 9a^2-24ab+16b^2 = ( \color{blue}{ 3a } - \color{red}{ 4b } )^2 $$This page was created using
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