Factor polynomial $$ 36a^{4}-25b^{4} $$
Answer
$$ 36a^{4}-25b^{4} = (6a^{2}+5b^{2})(6a^{2}-5b^{2}) $$
Explanation
Rewrite $ 36a^4-25b^4 $ as:
$$ \color{blue}{ 36a^4-25b^4 = (6a^2)^2 - (5b^2)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 6a^2 $ and $ II = 5b^2 $ , we have:
$$ 36a^4-25b^4 = (6a^2)^2 - (5b^2)^2 = ( 6a^2-5b^2 ) ( 6a^2+5b^2 ) $$This page was created using
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