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

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


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

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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