Factor polynomial $$ 100x^{2}-81 $$
Answer
$$ 100x^{2}-81 = ( 10x-9 )( 10x+9 ) $$
Explanation
Rewrite $ 100x^{2}-81 $ as:
$$ 100x^{2}-81 = (10x)^2 - (9)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 10x $ and $ II = 9 $ , we have:
$$ 100x^{2}-81 = (10x)^2 - (9)^2 = ( 10x-9 ) ( 10x+9 ) $$This page was created using
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