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Question

(4pq+3q)2 − (4pq−3q)2= ____________.


A

44pq2

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B

48p2q

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C

48pq2

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D

44p2q

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Solution

The correct option is C

48pq2


(4pq+3q)2(4pq3q)2

We have:

(a+b)2=a2+2ab+b2(ab)2=a22ab+b2

So, (4pq+3q)2(4pq3q)2

=[(4pq)2+(3q)2+2(4pq)(3q)][(4pq)2+(3q)22(4pq)(3q)]

=24pq2+24pq2
=48pq2


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