What binomial do you have to add to the polynomial x^2+y^2–2xy+1 to get a polynomial: not containing the variable x pls show work!

x^2+y^2-2xy+1+2xy-x^2=y^2+1

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.