a-b=(a+b)(a-b)

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


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

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

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

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

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

Solving
a + -1b = a2 + -1b2

Solving for variable 'a'.

Reorder the terms:
a + -1a2 + -1b + b2 = a2 + -1b2 + -1a2 + b2

Reorder the terms:
a + -1a2 + -1b + b2 = a2 + -1a2 + -1b2 + b2

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

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

The solution to this equation could not be determined.

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