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