Factorise: $2 p (a - b) + 3 q (5 a - 5 b) + 4 r (2 b - 2 a)$ .

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Solution

$2 p (a - b) + 3 q (5 a - 5 b) + 4 r (2 b - 2 a)$
$= 2 p (a - b) + 3 q \times 5 (a - b) - 4 \times r \times 2 (a - b)$
$= (a - b) (2 p + 15 q - 8 r)$
Thus $(a - b)$ and $(p + 15 p - 8 r)$ are the factors of the given expression.

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