`7x-1 / 4-1 / 3 (2x-1-x / 2) = 10/3`

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

Solve the equations and check your answer in the case: (3)/(4)(7x-1)-(2x-(1-x)/(2))= x+(3)/(2)

Solve: 3/4(7x-1)-(2x-(1-x)/2)=x+3/2

Solve: 3/4(7x-1)-(2x-(1-x)/2)=x+3/2

Evaluate int ((8x+13)/sqrt(4x+7)) dx (A) 1/3 (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c (B) 1/6 (4x+7)^(5/2) - 2/3 (4x+7)^(3/2) + c (C) 1/3 (4x+7)^(5/2) - 1/2 (4x+7)^(3/2) + c (D) (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c

Evaluate int ((8x+13)/sqrt(4x+7)) dx (A) 1/3 (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c (B) 1/6 (4x+7)^(5/2) - 2/3 (4x+7)^(3/2) + c (C) 1/3 (4x+7)^(5/2) - 1/2 (4x+7)^(3/2) + c (D) (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c

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 ^(3) - 7x + 4 is divided by (x-1), (x +2) and (2x +1), then the find the respective remainders.