Factor polynomial $$ 125x^{3}+y^{3} $$
Answer
$$ 125x^{3}+y^{3} = (5x+y)(25x^{2}-5xy+y^{2}) $$
Explanation
To factor $ 125x^{3}+y^{3} $ we can use sum of cubes formula:
$$ I^3 + II^3 = (I + II) (I^2 - I \cdot II + II^2)$$After putting $ I = 5x $ and $ II = y $ , we have:
$$ 125x^{3}+y^{3} = ( 5x+y ) ( 25x^{2}-5xy+y^{2} ) $$This page was created using
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