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