Factor polynomial $$ 8x^{3}-27y^{3} $$
Answer
$$ 8x^{3}-27y^{3} = (2x-3y)(4x^{2}+6xy+9y^{2}) $$
Explanation
To factor $ 8x^{3}-27y^{3} $ we can use difference of cubes formula:
$$ I^3 - II^3 = (I - II) (I^2 + I \cdot II + II^2) $$After putting $ I = 2x $ and $ II = 3y $ , we have:
$$ 8x^{3}-27y^{3} = ( 2x-3y ) ( 4x^{2}+6xy+9y^{2} ) $$This page was created using
Polynomial Factoring Calculator