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