Simplify: $(- 3 p q^{2} + 4 p q) - (7 p q - 9 p q^{2})$

6 p q^{2} + 3 p q

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6 p q^{2} - 3 p q

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- 12 p q^{2} + 3 p q

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- 12 p q^{2} - 3 p q

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Solution

The correct option is B $6 p q^{2} - 3 p q$
$(- 3 p q^{2} + 4 p q) - (7 p q - 9 p q^{2})$
$= - 3 p q^{2} + 4 p q - 7 p q + 9 p q^{2}$
$= - 3 p q^{2} + 9 p q^{2} + 4 p q - 7 p q$
$= 6 p q^{2} - 3 p q$

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