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