`3/(x-1) + 1/(x+1) =4/x.` find `x`

If x^(4) + (1)/(x^(4)) = 322 find x^(3)- (1)/(x^(3))= ?

If 3x - (1)/(3x ) =5 , find : (ii) 81x^4 + (1)/( 81x^4)

If (x^(2) + 1)/(x)= 3(1)/(3) and x gt 1 , find x^(3)- (1)/(x^(3))

If (lim)_(x->a)(x^3-a^3)/(x-a)=(lim)_(x->1)(x^4-1)/(x-1) , find all possible value o adot

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

Find the value of ( 1 + 1/x ) ( 1 + 1/( x+1 )) ( 1 + 1/( x+2 ) ) ( 1 + 1/( x+3 )) is : (1) 1 + (1/(x + 4 )) ( 2 ) x +4 ( 3 ) 1/x ( 4 ) ( x+4 )/x

Find the sum of the series e^(x-(1)/(2)(x -1)^(2) + (1)/(3) (x -1)^(3) - (1)/(4) (x -1)^(4) + ...

If 3x - (1)/(2x) = 3 , then find the value of (36x^(4) + 1)/(4x^(2)) .