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Question

Which of the following is the expression obtained by the division of 5pq(p2q2) by 2p(p+q)?


A

5q(pq)4

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B

5q(p+q)2

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C

5q(pq)2

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D

5q(p+q)4

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Solution

The correct option is C

5q(pq)2


Given, the expression is
5pq(p2q2).

[Using the identity: a2b2=(a+b)(ab)]

5pq(p2q2)=5pq(p+q)(pq)

Now dividing the above expression by
2p(p+q),we get

5pq(p+q)(pq)2p(p+q)

=5q(pq)2


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