Question 84 (xii)

Simplify

$(p q - q r)^{2} + 4 p q^{2} r$

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Solution

We have, $(p q - q r)^{2} + 4 p q^{2} r$
$= p^{2} q^{2} + q^{2} r^{2} - 2 p q^{2} r + 4 p q^{2} r$ [using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ ]
$= p^{2} q^{2} + q^{2} r^{2} + 2 p q^{2} r$

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Question 84 (xii)

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