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Question

Subtract the second expression from the first expression:
(1) 4pq6p22q2
(2) 9p2+2pq3q2.

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+q2
The simplified form of the first expression is 6p2+4pq2q2.
The simplified form of the second expession is 9p2+2pq3q2.
Subtracting the second expression from the first expression, we get,
=(6p2+4pq2q2)(9p2+2pq3q2)
Rearranging and subtracting the like terms, we get,
=(6p29p2)+(4pq2pq)+(2q2+3q2)
=15p2+2pq+q2

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