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Integration by Partial Fractions

The value of ...

Question

The value of $(k l - m n) (m n + k l)$ is

{(k l)}^{2} + {(m n)}^{2}

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{(k l)}^{2} - {(m n)}^{2}

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Both A and B

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None of these

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Solution

The correct option is B ${(k l)}^{2} - {(m n)}^{2}$
$(k l - m n) (m n + k l)$
$= (k l)^{2} - (m n)^{2}$ [By $(a - b) (a + b) = a^{2} - b^{2}$ ]
Hence, option B is correct.

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