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 sum 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
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