Find the coeeficient of `x^(-2)` in the exapansion of `(x^(2)+(4)/(x^(5)))^(6)`

The coeeficient of x^(4) in the exapnsion of (4x^(2)+(3))/(x))^(8) is ___________

If the coefficient of x^(2) in the exapansion of (x)/((2x+1)(x-2)) is (P)/(Q), then P+Q=

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 term independent of x in the exapansion of (x^(3)-(1)/(x^(2)))^(10) is ___________

Which term is the constant term in the exapansion of (2x-(1)/(3x))^(6)

Find the additive inverse of the expression (6x^2-4x+5)

Find the solutions of the rational equation (x^2(x^4-81)(x+2)^3)/(x^5-x^4-6x^3)=0 .

Number of non-zero terms in the exapansion of (5sqrt(5)x+sqrt(7))^(6)+(5sqrt(5)x-sqrt(7))^(6) is __________