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Factorisation by Common Factors

If a=3, b=-...

Question

If $a = 3, b = - 3$ , find the value of
$a b^{2} + a^{2} b + a b$

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Solution

Let us substitute $a = 3$ and $b = - 3$ in the given expression $a b^{2} + a^{2} b + a b$ as shown below:

$a b^{2} + a^{2} b + a b = [3 \times (- 3)^{2}] + [3^{2} \times (- 3)] + [3 \times (- 3)] = (3 \times 9) + [9 \times (- 3)] - 9 = 27 - 27 - 9 = - 9$

Hence, $a b^{2} + a^{2} b + a b = - 9$ if $a = 3$ and $b = - 3$ .

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