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Consider the polynomial fucntion f(x)...

Consider the polynomial fucntion
`f(x) = |{:((1+x)^(2),,(1+2x)^(b),,1),(1,,(1+x)^(a),,(1+2x)^(b)),((1+2x)^(b),,1,,(1+x)^(a)):}|`
a,b being positive integers.
Which of the following is true ?

A

constant term in f(x) is 4

B

constant term in f(x) is 0

C

constant term in f(x) is (a-b)

D

constant term in f(x) is (a+b)

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