`(3-2x)(3+2x)=(3)^2 - (2x)^2`

Find the sum of the following algebraic expressions : 3x^(3) - 5x^(2) + 2x + 1 , 3x - 2x^(3) - x^(3) , 2x^(2) - 7x + 9

If sqrt(3 - 2x) = 1 , then what is the value of (3 - 2x) + (3 - 2x)^2 ?

The coefficient of x^r[0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2+.... +(x+2)^(n-1) is a.^n C_r(3^r-2^n) b.^n C_r(3^(n-r)-2^(n-r)) c.^n C_r(3^r+2^(n-r)) d. none of these

The series . (2x)/(x + 3) + ((2x)/(x + 3))^(2) + ((2x)/(x + 3))^(3) + ...oo have a definite sum when

Evaluate lim_(x to 2) [(1)/(x - 2) - (2(2x - 3))/(x^(3) - 3x^(2) + 2x)]

Simplify: (x^3-2x^2+3x-4)(x-1)-\ (2x-3)(x^2-x+1)

"(2x+3y)^3-(2x-3y)^3

If x != 3 and x != 6 , then (2x^2 - 72)/(x - 6) - (2x^2 - 18)/(x - 3) =

Add the following expressions: 3x^(3)+2x^(2)-6x+3, 2x^(3)-3x^(2)-x-4, 1+2x-3x^(2)-4x^(3)

If x,y,zepsilonR then the value of |((2x^(x)+2^(-x))^(2),(2^(x)-2^(-x))^(2),1),((3x^(x)+3^(-x))^(2),(3^(x)-3^(-x))^(2),1),((4^(x)+4^(-x))^(2),(4^(x)-4^(-x))^(2),1)| is