Solve: $8 (p - q)^{2} - 12 (p - q)^{2}$

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Solution

$8 (p - q)^{2} - 12 (p - q)^{2}$
$= (p - q)^{2} (8 - 12)$
$= (p - q)^{2} (- 4)$
$= - 4 (p - q)^{2}$
$= - 4 (p^{2} + q^{2} - 2 p q)$
$= 8 p q - 4 p^{2} - 4 q^{2}$

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