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Question

The value of ∣ ∣x+42x2x2xx+42x2x2xx+4∣ ∣,xR{45,4} is

A
(5x+4)(4x)
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B
(5x4)(4x)2
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C
(5x+4)(4x)2
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D
(5x+4)(4x)3
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Solution

The correct option is C (5x+4)(4x)2
Applying C1C1+C2+C3,
We get,
Δ=∣ ∣5x+42x2x5x+4x+42x5x+42xx+4∣ ∣ =(5x+4)∣ ∣12x2x1x+42x12xx+4∣ ∣
Now applying R2R2R1,R3R3R1
We get,
Δ=(5x+4)∣ ∣12x2x04x0004x∣ ∣ =(5x+4)(4x)2

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