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Exponents with Like Bases

Simplify: a3-...

Question

Simplify: $(a^{3} - b^{3}) \div (a - b)$

A

(a^{2} - b^{2})

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B

(a - b)^{2}

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C

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

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D

a^{2} - a b + b^{2}

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Solution

The correct option is C $a^{2} + a b + b^{2}$

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Similar questions

a^{3} (b - c)^{3} + b^{3} (c - a)^{3} + c^{3} (a - b)^{3}

Q. Simplify the following expressions.

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

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

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

Q. Simplify the square root of the polynomial using factorisation method:

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

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