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Question

Simplify: (3pq+3qr)218pq2r


A

9p2q2+9q2r218pq2r

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B

9p2q2+9q2r29pq2r

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C

9p2q2+9q2r2

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D

9p2q2+9q2r2+9pq2r

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Solution

The correct option is C

9p2q2+9q2r2


Given : (3pq+3qr)218pq2r

Expanding (3pq+3qr)2 using (a+b)2=a2+2ab+b2,

(3pq+3qr)2
= 9(p)2(q)2+9(q)2(r)2+18pq2r

(3pq+3qr)218pq2r
=9p2q2+9q2r2+18pq2r18pq2r

=9p2q2+9q2r2


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