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If the polynomial f(x)=|{:((1+x)^a,(2+x)...

If the polynomial `f(x)=|{:((1+x)^a,(2+x)^b,1),(1,(1+x)^a,(2+x)^b),((2+x)^b,1,(1+x)^a):}|`, then the constant term of f(x) is

A

`2-3*2^b+2^(3b)`

B

`2+3*2^b+2^(3b)`

C

`2+3*2^b-2^(3b)`

D

`2-3*2^b-2^(3b)`

Text Solution

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The correct Answer is:
A
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