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