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