What is the quotient when $(a^{4} - b^{4})$ is divided by $a - b$ ?

a^{3} + a^{2} b + a b^{2} + b^{3}

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a^{3} + a^{2} b + a b^{2} - b^{3}

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a^{3} + a^{2} b - a b^{2} + b^{3}

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a^{3} - a^{2} b + a b^{2} + b^{3}

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Solution

The correct option is A $a^{3} + a^{2} b + a b^{2} + b^{3}$
$∴$ quotient $= a^{3} + a^{2} b + a b^{2} + b^{3}$

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Similar questions

\frac{a^{3}}{8} + \frac{b^{3}}{27} + \frac{a^{2} b}{4} + \frac{a b^{2}}{6}

a^{3} - b^{3} - a^{2} b + a b^{2} + a^{2} - b^{2}

a, b \in + R

a \neq b

a^{3} + b^{3} < a^{2} b + a b^{2}

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

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n

(a + b) + (a^{2} + a b + b^{2}) + (a^{3} + a^{2} b + a b^{2} + b^{3}) + . . . . .

a \neq 1, b \neq 1 a n d a \neq b

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