If `f(x)=|((1+x)^a,(1+2x)^b,1),(1,(1+x)^a,(1+2x)^b), ((1+2x)^b,1,(1+x)^a)|` then find constant term and coefficient of 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

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

If f(x)= |{:((1+x)^(a),(1+2x)^(b),1),(1,(1+x)^(a),(1+2x)^(b)),((1+2x)^(b),1,(1+x)^(a)):}|, a,b being positive integers then

If f(x)=det[[(1+x)^(a),(1+2x)^(b),11,(1+x)^(a),(1+2x)^(b)(1+2x)^(b),1,(1+x)^(a)(1+2x)^(b),1,(1+x)^(a) term and coefficient of 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. the coefficient of x in f(x) is

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. the coefficient of x in f(x) is

If f(x) = |((1+x)^(2),(1+2x)^(b),1),(1,(1+x)^(a),(1+2x)^(a)),((1+2x)^(b),1,(1+x)^(b))| a ,b being positive integers, then a)Constant term of f(x) is 1 b)Coefficient of x in f(x) is 0 c)Constant term is f(x) is a - b d)Coefficient of x in f(x) is - 1

Consider the polynomial fucntion f(x) = |{:((1+x)^(a),,(1+2x)^(b),,1),(1,,(1+x)^(a),,(1+2x)^(b)),((1+2x)^(b),,1,,(1+x)^(a)):}| a,b being positive integers. The constant term in f(x) is

Consider the polynomial fucntion f(x) = |{:((1+x)^(a),,(1+2x)^(b),,1),(1,,(1+x)^(a),,(1+2x)^(b)),((1+2x)^(b),,1,,(1+x)^(a)):}| a,b being positive integers. The constant term in f(x) is

Consider the polynomial fucntion f(x) = |{:((1+x)^(a),,(1+2x)^(b),,1),(1,,(1+x)^(a),,(1+2x)^(b)),((1+2x)^(b),,1,,(1+x)^(a)):}| a,b being positive integers. The constant term in f(x) is