``If` (x+5)/((x+1)(x+3)) = A/(x+1)+B/(x+3)` then the value of A is

If x+1/x=3 , then the value of x^6+1/x^6 is.

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If (x^(2)-10x+13)/((x-1)(x^(2)-5x+6))=(A)/(x-1)+(B)/(x-2)+(C)/(x-3) then write the values of A, B, C in ascending order.

If (2x+3)/((x+1)(x+2))=(A)/(x+1)+(B)/(x+2) for all real values of x(ne -1,-2) , what is the value of (A+B)?

If lim_(x to 0) (x(1 + a cos x)-b sinx)/(x^3) = 1 , then the value of ab is euqal to

If (2x^(3)+1)/((x-1)(x+1)(x+2))=A+(B)/(x-1)+(C)/(x+1)+(D)/(x+2) , then find the value of A+B+C+D .

If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)| , then write the value of x .

If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)| , then write the value of x .

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in [-1, -(1)/(2)) , then the value of a + b pi is