Subtract: $8 x - 7 y - 8 p + 10 q$ from $10 x + 10 y - 7 p + 9 q$ .

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Solution

We subtract $8 x - 7 y - 8 p + 10 q$ from $10 x + 10 y - 7 p + 9 q$ as shown below:

$(10 x + 10 y - 7 p + 9 q) - (8 x - 7 y - 8 p + 10 q)$
$= 10 x + 10 y - 7 p + 9 q - 8 x + 7 y + 8 p - 10 q$
$= (10 x - 8 x) + (10 y + 7 y) + (- 7 p + 8 p) + (9 q - 10 q)$
$= 2 x + 17 y + p - q$

Hence, the difference is $(2 x + 17 y + p - q)$ .

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