If $a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}$ is divided by $(a - b)$ , then the remainder is

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

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

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Solution

The correct option is D 0
$T h e$ $r e m a i n d e r$ $i s$ $e q u a l$ $t o$ $f (b)$ $b y$ $r e m a i n d e r$ $t h e o r e m .$
$f (b) = b^{3} - 3 b^{2} . b + 3 b . b^{2} - b^{3} = 0$
$T h u s$ $i t$ $c o m e s$ $o u t$ $t o$ $b e 0$ .

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