Question
Factor polynomial $$ x^{5}+y^{5} $$
Answer
$$ x^{5}+y^{5} = (x+y)(x^{4}-x^{3}y+x^{2}y^{2}-xy^{3}+y^{4}) $$
Explanation
To factor $ x^{5}+y^{5} $ we can use formula:
$$ I^5 + II^5 = (I + II) (I^4 - I^3 \cdot II + I^2 \cdot II^2 - I \cdot II^3 +II^4) $$After putting $ I = x $ and $ II = y $ , we have:
$$ x^{5}+y^{5} = ( x+y ) ( x^{4}-x^{3}y+x^{2}y^{2}-xy^{3}+y^{4} ) $$This page was created using
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