Question
Factor polynomial $$ 36x^{2}-49y^{2} $$
Answer
$$ 36x^{2}-49y^{2} = (6x+7y)(6x-7y) $$
Explanation
Rewrite $ 36x^2-49y^2 $ as:
$$ \color{blue}{ 36x^2-49y^2 = (6x)^2 - (7y)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 6x $ and $ II = 7y $ , we have:
$$ 36x^2-49y^2 = (6x)^2 - (7y)^2 = ( 6x-7y ) ( 6x+7y ) $$This page was created using
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