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Question

If k=p+q+r, then the value of ∣∣ ∣∣k+rpqrk+pqrpk+q∣∣ ∣∣ is _____.

A
2k2
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B
2k3
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C
k3
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D
3k2
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Solution

The correct option is B 2k3
Given, k=p+q+r
We need to find value of ∣ ∣k+rpqrk+pqrpk+q∣ ∣
Lets do C1C1+C2+C3 and taking common k+p+q+r
=2k∣ ∣1pq1k+pq1pk+q∣ ∣
=R3R3R1
=R2R2R1
=2k∣ ∣1pq0k000k∣ ∣
=2k3

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