Co-efficient of `x^4` in `(x^4-x^2+1)^5(x^4+x^2+1)^7` is

The sum of the co-efficient of the expansion of (a^4x^2-2a^2x+1)^101 is zero.find the value of a.

Determine the co-efficients according to the directions given of the following polynomials : The co-efficient of x in the polynomial (x^(4)+x^(2)+1)/(x^(2)+x+1)

Find the co-efficient of x^4 in the expansion of (2x^2+1/x)^20 .

Find the Co-efficient of x^(4) in the expansion of (1+x^(3))^(50)(x^(2)+1/x)^(5) .

Find the co-efficient of x^(5) in the expansion of (1+x^(2))^(5)(1+x)^(4)

Find the co-efficient of x^(4) in the expansion of (3-4x+x^(2))/e^(2x) .

Find the coefficient of x^7 in the expansion of (1+2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7)^10

The coefficient of x^(7) in the expansion of (1+1/(1!)x+1/(2!)x^(2)+1/(3!)x^(3)+1/(4!)x^(4)+1/(5!)x^(5))^(2) is: