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Question

# Subtract the second expression from the first expression: (1) 4pqâˆ’6p2âˆ’2q2 (2) 9p2+2pqâˆ’3q2.

A
15p22pqq2
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B
15p2+2pq+q2
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C
15p22pqq2
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D
15p2+2pq+q2
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Solution

## The correct option is B −15p2+2pq+q2The simplified form of the first expression is −6p2+4pq−2q2. The simplified form of the second expession is 9p2+2pq−3q2. Subtracting the second expression from the first expression, we get, =(−6p2+4pq−2q2)−(9p2+2pq−3q2) Rearranging and subtracting the like terms, we get, =(−6p2−9p2)+(4pq−2pq)+(−2q2+3q2) =−15p2+2pq+q2

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