Simplify : $a (a^{2} + 1) + b (b^{2} + 1) - (a + b)$

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

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a^{3} + b^{3}

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a^{3} - b^{3}

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

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Solution

The correct option is A $a^{3} + b^{3}$
$a (a^{2} + 1) + b (b^{2} + 1) - (a + b)$

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

Hence, simplified form of given the expression is $a^{3} + b^{3}$ .

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