Factor polynomial $$ -x^{4}+144 $$
Answer
$$ -x^{4}+144 = ( -x^{2}+12 )( x^{2}+12 ) $$
Explanation
Rewrite $ -x^{4}+144 $ as:
$$ -x^{4}+144 = 144 -x^4 = (12)^2 - (x^{2})^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 12 $ and $ II = x^{2} $ , we have:
$$ -x^{4}+144 = (12)^2 - (x^{2})^2 = ( -x^{2}+12 ) ( x^{2}+12 ) $$This page was created using
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