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Question

(4pq+3q)2(4pq3q)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
By applying (a+b)2=a2+2ab+b2, and (ab)2=a22ab+b2 in the given expression, we get,

(4pq+3q)2(4pq3q)2
=[(4pq)2+(3q)2+2(4pq)(3q)]
[(4pq)2+(3q)22(4pq)(3q)]
On simplifying, we get,
=24pq2+24pq2
=48pq2

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