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Let |x2xx^2x6xx6|=a x^4+b x^3+c x^2+dx+e...

Let `|x2xx^2x6xx6|=a x^4+b x^3+c x^2+dx+edot` Then, the value of `5a+4b+3c+2d+e` is equal 0 (b) -16 (c) 16 (d) none of these

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Expanding along row_1 we get
`=x(6x−6x)−2(6x2−6x)+x(x^3−x^2)`
`=x^4−x^3−12x^2+12x`
Comparing with RHS, we get
`A=1,B=−1,C=−12,D=12,E=0`
...
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