a(a+b)-b(a-b)=a^2+b^2

Solution for a(a+b)-b(a-b)=a^2+b^2 equation:

Simplifying
a(a + b) + -1b(a + -1b) = a2 + b2
(a * a + b * a) + -1b(a + -1b) = a2 + b2

Reorder the terms:
(ab + a2) + -1b(a + -1b) = a2 + b2
(ab + a2) + -1b(a + -1b) = a2 + b2
ab + a2 + (a * -1b + -1b * -1b) = a2 + b2
ab + a2 + (-1ab + 1b2) = a2 + b2

Reorder the terms:
ab + -1ab + a2 + 1b2 = a2 + b2

Combine like terms: ab + -1ab = 0
0 + a2 + 1b2 = a2 + b2
a2 + 1b2 = a2 + b2

Add '-1a2' to each side of the equation.
a2 + -1a2 + 1b2 = a2 + -1a2 + b2

Combine like terms: a2 + -1a2 = 0
0 + 1b2 = a2 + -1a2 + b2
1b2 = a2 + -1a2 + b2

Combine like terms: a2 + -1a2 = 0
1b2 = 0 + b2
1b2 = b2

Solving
1b2 = b2

Solving for variable 'b'.

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

Add '-1b2' to each side of the equation.
1b2 + -1b2 = b2 + -1b2

Combine like terms: 1b2 + -1b2 = 0
0 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.