In a much-simplified form, the given algebraic expression could be written as: $(a^{2} + a b + b^{2}) (a - b)$

$a^{2} - b^{2}$

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$a^{3} - b^{3}$

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$a^{2} + b^{2}$

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$a^{3} + b^{3}$

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Solution

The correct option is B
$a^{3} - b^{3}$

We have known that the expansion of the identity: $(a^{3} - b^{3})$ as:

$(a^{3} - b^{3}) = (a^{2} + a b + b^{2}) (a - b)$

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Similar questions

\frac{a^{2} - b^{2}}{a - b} - \frac{a^{3} - b^{3}}{a^{2} - b^{2}}

Simplify :
${(a - b)}^{2} + 4 a b$

(\frac{a^{3} - b^{3}}{a^{2} + b^{2} + a b})

x = a + b, y = α x + b β

z = a β + b α,

α

β

x y z =

The shortest form of $\frac{(a^{3} + b^{3})}{(a^{2} - a b + b^{2})}$ is ___.

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