(9u+v)(9u-v)=

Solution for (9u+v)(9u-v)= equation:

Simplifying
(9u + v)(9u + -1v) = 0

Multiply (9u + v) * (9u + -1v)
(9u * (9u + -1v) + v(9u + -1v)) = 0
((9u * 9u + -1v * 9u) + v(9u + -1v)) = 0

Reorder the terms:
((-9uv + 81u2) + v(9u + -1v)) = 0
((-9uv + 81u2) + v(9u + -1v)) = 0
(-9uv + 81u2 + (9u * v + -1v * v)) = 0
(-9uv + 81u2 + (9uv + -1v2)) = 0

Reorder the terms:
(-9uv + 9uv + 81u2 + -1v2) = 0

Combine like terms: -9uv + 9uv = 0
(0 + 81u2 + -1v2) = 0
(81u2 + -1v2) = 0

Solving
81u2 + -1v2 = 0

Solving for variable 'u'.

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

Add 'v2' to each side of the equation.
81u2 + -1v2 + v2 = 0 + v2

Combine like terms: -1v2 + v2 = 0
81u2 + 0 = 0 + v2
81u2 = 0 + v2
Remove the zero:
81u2 = v2

Divide each side by '81'.
u2 = 0.01234567901v2

Simplifying
u2 = 0.01234567901v2

Take the square root of each side:
u = {-0.111111111v, 0.111111111v}