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Question

āˆ£āˆ£ āˆ£āˆ£a2+2a2a+112a+1a+21331āˆ£āˆ£ āˆ£āˆ£=

A
(1a)3
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B
(a1)2
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C
(a1)3
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D
(a+1)2
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Solution

The correct option is D (a1)3
A=∣ ∣a2+2a2a+112a+1a+21331∣ ∣

By row trasformation on A,

r1r1r2 and r2r2r3

A=∣ ∣ ∣a21a102(a1)(a1)0331∣ ∣ ∣

So,A=(a1)2∣ ∣a+110210331∣ ∣

=(a1)2[1(a+12)]

A=(a1)3

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