(8u+9v)(8u-9v)=

Solution for (8u+9v)(8u-9v)= equation:

Simplifying
(8u + 9v)(8u + -9v) = 0

Multiply (8u + 9v) * (8u + -9v)
(8u * (8u + -9v) + 9v * (8u + -9v)) = 0
((8u * 8u + -9v * 8u) + 9v * (8u + -9v)) = 0

Reorder the terms:
((-72uv + 64u2) + 9v * (8u + -9v)) = 0
((-72uv + 64u2) + 9v * (8u + -9v)) = 0
(-72uv + 64u2 + (8u * 9v + -9v * 9v)) = 0
(-72uv + 64u2 + (72uv + -81v2)) = 0

Reorder the terms:
(-72uv + 72uv + 64u2 + -81v2) = 0

Combine like terms: -72uv + 72uv = 0
(0 + 64u2 + -81v2) = 0
(64u2 + -81v2) = 0

Solving
64u2 + -81v2 = 0

Solving for variable 'u'.

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

Add '81v2' to each side of the equation.
64u2 + -81v2 + 81v2 = 0 + 81v2

Combine like terms: -81v2 + 81v2 = 0
64u2 + 0 = 0 + 81v2
64u2 = 0 + 81v2
Remove the zero:
64u2 = 81v2

Divide each side by '64'.
u2 = 1.265625v2

Simplifying
u2 = 1.265625v2

Take the square root of each side:
u = {-1.125v, 1.125v}