Factor polynomial $$ x^{6}+y^{6} $$
Answer
$$ x^{6}+y^{6} = (x^{2}+y^{2})(x^{4}-x^{2}y^{2}+y^{4}) $$
Explanation
To factor $ x^{6}+y^{6} $ we can use sum of cubes formula:
$$ I^3 + II^3 = (I + II) (I^2 - I \cdot II + II^2)$$After putting $ I = x^2 $ and $ II = y^2 $ , we have:
$$ x^{6}+y^{6} = ( x^{2}+y^{2} ) ( x^{4}-x^{2}y^{2}+y^{4} ) $$This page was created using
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