Factor polynomial $$ x^{3}-216y^{3} $$
Answer
$$ x^{3}-216y^{3} = (x-6y)(x^{2}+6xy+36y^{2}) $$
Explanation
To factor $ x^{3}-216y^{3} $ we can use difference of cubes formula:
$$ I^3 - II^3 = (I - II) (I^2 + I \cdot II + II^2) $$After putting $ I = x $ and $ II = 6y $ , we have:
$$ x^{3}-216y^{3} = ( x-6y ) ( x^{2}+6xy+36y^{2} ) $$This page was created using
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