Question
Which of the following is the expression obtained by the division of 5pq(p2−q2) by 2p(p+q)?
Answer: Option C
:
C
Given, the expression is
5pq(p2−q2).
[Using the identity:a2−b2=(a+b)(a−b)]
⇒5pq(p2−q2)=5pq(p+q)(p−q)
Nowdividing the above expression by
2p(p+q),we get
5pq(p+q)(p−q)2p(p+q)
=5q(p−q)2
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:
C
Given, the expression is
5pq(p2−q2).
[Using the identity:a2−b2=(a+b)(a−b)]
⇒5pq(p2−q2)=5pq(p+q)(p−q)
Nowdividing the above expression by
2p(p+q),we get
5pq(p+q)(p−q)2p(p+q)
=5q(p−q)2
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