A+B=(A+B)(A-B)

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Solution for A+B=(A+B)(A-B) equation: 


Simplifying
A + B = (A + B)(A + -1B)

Multiply (A + B) * (A + -1B)
A + B = (A(A + -1B) + B(A + -1B))
A + B = ((A * A + -1B * A) + B(A + -1B))

Reorder the terms:
A + B = ((-1AB + A2) + B(A + -1B))
A + B = ((-1AB + A2) + B(A + -1B))
A + B = (-1AB + A2 + (A * B + -1B * B))
A + B = (-1AB + A2 + (AB + -1B2))

Reorder the terms:
A + B = (-1AB + AB + A2 + -1B2)

Combine like terms: -1AB + AB = 0
A + B = (0 + A2 + -1B2)
A + B = (A2 + -1B2)

Solving
A + B = A2 + -1B2

Solving for variable 'A'.

Reorder the terms:
A + -1A2 + B + B2 = A2 + -1B2 + -1A2 + B2

Reorder the terms:
A + -1A2 + B + B2 = A2 + -1A2 + -1B2 + B2

Combine like terms: A2 + -1A2 = 0
A + -1A2 + B + B2 = 0 + -1B2 + B2
A + -1A2 + B + B2 = -1B2 + B2

Combine like terms: -1B2 + B2 = 0
A + -1A2 + B + B2 = 0

The solution to this equation could not be determined.

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