Factor polynomial $$ 27m^{3}+125n^{3} $$
Answer
$$ 27m^{3}+125n^{3} = (3m+5n)(9m^{2}-15mn+25n^{2}) $$
Explanation
To factor $ 27m^{3}+125n^{3} $ we can use sum of cubes formula:
$$ I^3 + II^3 = (I + II) (I^2 - I \cdot II + II^2)$$After putting $ I = 3m $ and $ II = 5n $ , we have:
$$ 27m^{3}+125n^{3} = ( 3m+5n ) ( 9m^{2}-15mn+25n^{2} ) $$This page was created using
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