Question
Factor polynomial $$ 25x^{4}-64 $$
Answer
$$ 25x^{4}-64 = ( 5x^{2}-8 )( 5x^{2}+8 ) $$
Explanation
Rewrite $ 25x^{4}-64 $ as:
$$ 25x^{4}-64 = (5x^{2})^2 - (8)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 5x^{2} $ and $ II = 8 $ , we have:
$$ 25x^{4}-64 = (5x^{2})^2 - (8)^2 = ( 5x^{2}-8 ) ( 5x^{2}+8 ) $$This page was created using
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