(u+v)(v-u)=

Solution for (u+v)(v-u)= equation:

Simplifying
(u + v)(v + -1u) = 0

Reorder the terms:
(u + v)(-1u + v) = 0

Multiply (u + v) * (-1u + v)
(u(-1u + v) + v(-1u + v)) = 0
((-1u * u + v * u) + v(-1u + v)) = 0

Reorder the terms:
((uv + -1u2) + v(-1u + v)) = 0
((uv + -1u2) + v(-1u + v)) = 0
(uv + -1u2 + (-1u * v + v * v)) = 0
(uv + -1u2 + (-1uv + v2)) = 0

Reorder the terms:
(uv + -1uv + -1u2 + v2) = 0

Combine like terms: uv + -1uv = 0
(0 + -1u2 + v2) = 0
(-1u2 + v2) = 0

Solving
-1u2 + v2 = 0

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-1v2' to each side of the equation.
-1u2 + v2 + -1v2 = 0 + -1v2

Combine like terms: v2 + -1v2 = 0
-1u2 + 0 = 0 + -1v2
-1u2 = 0 + -1v2
Remove the zero:
-1u2 = -1v2

Divide each side by '-1'.
u2 = v2

Simplifying
u2 = v2

Take the square root of each side:
u = {-1v, v}