Factor polynomial $$ 9m^{2}-25n^{2} $$
Answer
$$ 9m^{2}-25n^{2} = (3m+5n)(3m-5n) $$
Explanation
Rewrite $ 9m^2-25n^2 $ as:
$$ \color{blue}{ 9m^2-25n^2 = (3m)^2 - (5n)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 3m $ and $ II = 5n $ , we have:
$$ 9m^2-25n^2 = (3m)^2 - (5n)^2 = ( 3m-5n ) ( 3m+5n ) $$This page was created using
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