Question

Fill in the missing term in the equation

Answer 1

x

Explanation:

Let's simplify the LHS so it can be equated to the RHS.

`(x)/(x^(2) -4x+4) - (x)/(x^(2) -3x+2)`

`(x)/((x-2)^(2) ) - (x)/((x-1)(x-2))`

`(x(x-1)-x(x-2))/((x-2)^(2)(x-1))`

`(x^(2) -x-x^(2)+2x )/((x-2)^(2)(x-1))`

`(x)/((x-2)^(2)(x-1))`

Hence, the missing term in the numerator of the answer is x