Question
Factor polynomial $$ -x^{2}+196 $$
Answer
$$ -x^{2}+196 = ( -x+14 )( x+14 ) $$
Explanation
Rewrite $ -x^{2}+196 $ as:
$$ -x^{2}+196 = 196 -x^2 = (14)^2 - (x)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 14 $ and $ II = x $ , we have:
$$ -x^{2}+196 = (14)^2 - (x)^2 = ( -x+14 ) ( x+14 ) $$This page was created using
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