Do the following subtractions as directed.
Subtract $(8 p + 9 k - 17)$ from $(2 p q + 7 p - 8 q + 15)$

- p - 8 q - 9 k + 2 p q + 32

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p + 8 q - 9 k + 2 p q + 32

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- p - 8 q + 9 k + p q + 32

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p - 8 q - 9 k + 2 p q - 32

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Solution

The correct option is B $- p - 8 q - 9 k + 2 p q + 32$
We know that Like terms are terms that contain the same variables raised to the same power.

We group together the like terms and subtract $8 p + 9 k - 17$ from $2 p q + 7 p - 8 q + 15$ as follows:

$(2 p q + 7 p - 8 q + 15) - (8 p + 9 k - 17) = 2 p q + 7 p - 8 q + 15 - 8 p - 9 k + 17 = (7 p - 8 p) - 8 q - 9 k + 2 p q + (15 + 17) = - p - 8 q - 9 k + 2 p q + 32$

Hence, $(2 p q + 7 p - 8 q + 15) - (8 p + 9 k - 17) = - p - 8 q - 9 k + 2 p q + 32$ .

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