`3/(x-1) + 1/(x-3) = 4/(x-2)`

((4x-3) / (2x + 1))-10 ((2x + 1) / (4x-3)) = 3, x! =-1/2, 3/4

Solve for : x :(x-1)/(x-2)+(x-3)/(x-4)=3 1/3,x!=2,4

Solve for x : (x-1)/(x-2)+(x-3)/(x-4)=3 1/3;\ \ x!=2,\ 4

Solve for :x:(x-1)/(x-2)+(x-3)/(x-4)=3(1)/(3),x!=2,4

Solve for x:(x-1)/(x-2)+(x-3)/(x-4)=3(1)/(3);x!=2,4

Solve: 1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6[x!=1,2,3,4]

If the partial fractions of (3x^(2)+4)/((x-1)^(3)) is (3)/(x-1)+(A)/((x-1)^(2))+(7)/((x-1)^(3)) , then A= _________.

Without expanding, find the value of: (i) (x + 1)^4 - 4(x + 1)^3 (x - 1) + 6(x + 1)^2 (x - 1)^2 - 4(x + 1) (x - 1)^3 + (x -1)^4 (ii) (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

If x_1 x_2 x_3 = 4(4 + x_1 + x_2 + x_3 ) , then what is the value of [1//(2 + x_1 )] + [1//(2 + x_2 )] + [1//(2 + x_3 )] ?