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Question

If 2p=3q+5p2m, express m in terms of p and q.

A
m=9p2q2+3pq
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B
m=p23q2+4pq
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C
m=p29q2+12pq
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D
m=9p23q2+pq
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Solution

The correct option is C m=p29q2+12pq
Given, 2p=3q+5p2m
2p3q=5p2m
Squaring on both sides, we get
(2p3q)2=5p2m
4p212pq+9q2=5p2m
m=5p24p2+12pq9q2
=p2+12pq9q2

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