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