" The coefficient of "x^(9)" in "(1+9x+27x^(2)+27x^(3))^(6)" is "

Prove that the coefficient of x^(3) in the expansion of (1+x+2x^(2))(2x^(2)-(1)/(3x))^(9) is -(224)/(27)

Prove that the coefficient of x^3 in the expansion of (1+x+2x^2) (2x^2 - 1/(3x))^9 is -224/27.

The value of (3x ^(3) + 9x ^(2) + 27x)div 3x is

If two of the roots of 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 are being equal in magnitude but opposite in sign then the roots are

If int sqrt(1-x^2)/x^4dx=A(x).(sqrt(1-x^2))^m where A(x) is a function of x then (A(x))^m = (A) -1/(27x^9) (B) 1/(27x)^9 (C) 1/(3x^9) (D) -1/(3x^9)

If int sqrt(1-x^2)/x^4dx=A(x).(sqrt(1-x^2))^m where A(x) is a function of x then (A(x))^m = (A) -1/(27x^9) (B) 1/(27x)^9 (C) 1/(3x^9) (D) -1/(3x^9)

Find the degree of the following polynomials. 3x^(4) + 9x^(2) + 27x^(6)

The volume of a cube is given by V = x^(3) - 9x^(2) + 27x - 27 . The edge of the cube is