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Question

In the equation x−pq+x−qp=qx−p+px−q, x is not equal to

A
0
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B
p+q
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C
pq
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D
p2+q2p+q
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Solution

The correct option is D p+q
xpq+xqp=qxp+pxq
or xpp2+qxq2pq=xqq2+pxp2(xp)(xa)
or (xp)(xq)pq
or x2+(p+q)x+pqpq
or x=(p+q)

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