this is a pythagorean triplet, so

this is a pythagorean triplet, so

substituting gives

for or

so somewhere I am messing up and end up dividing by 4 instead of multiplying by 4. Not sure what I am doing wrong tho. I am trying to investigate the hint to divide by 4 (if necessary) and that I am not looking at even vs odd. I do know that I have two cases, where x and z are even and y is odd, and when x and z are both odd and y is either even or odd.