Add: $p (p - q), q (q - r)$ and $r (r - p)$

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Solution

$p (p - q), q (q - r), r (r - p)$

$\Rightarrow p (p - q) + q (q - r) + r (r - p)$

$\Rightarrow p^{2} - p q + q^{2} - q r + r^{2} - r p$

Thus the sum $= p^{2} + q^{2} + r^{2} - p q - q r - p r$

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