(px-y)(px+y)=ap

Solution for (px-y)(px+y)=ap equation:

Simplifying
(px + -1y)(px + y) = ap

Multiply (px + -1y) * (px + y)
(px(px + y) + -1y * (px + y)) = ap
((px * px + y * px) + -1y * (px + y)) = ap

Reorder the terms:
((pxy + p2x2) + -1y * (px + y)) = ap
((pxy + p2x2) + -1y * (px + y)) = ap
(pxy + p2x2 + (px * -1y + y * -1y)) = ap
(pxy + p2x2 + (-1pxy + -1y2)) = ap

Reorder the terms:
(pxy + -1pxy + p2x2 + -1y2) = ap

Combine like terms: pxy + -1pxy = 0
(0 + p2x2 + -1y2) = ap
(p2x2 + -1y2) = ap

Solving
p2x2 + -1y2 = ap

Solving for variable 'p'.

Reorder the terms:
-1ap + p2x2 + -1y2 = ap + -1ap

Combine like terms: ap + -1ap = 0
-1ap + p2x2 + -1y2 = 0

The solution to this equation could not be determined.