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