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

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


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

Multiply (A + b) * (a + -1b)
(A(a + -1b) + b(a + -1b)) = a2 + -1b2
((a * A + -1b * A) + b(a + -1b)) = a2 + -1b2
((aA + -1bA) + b(a + -1b)) = a2 + -1b2
(aA + -1bA + (a * b + -1b * b)) = a2 + -1b2
(aA + -1bA + (ab + -1b2)) = a2 + -1b2

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

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

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

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

Solving
aA + ab + -1bA = a2

Solving for variable 'a'.

Reorder the terms:
aA + ab + -1a2 + -1bA = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
aA + ab + -1a2 + -1bA = 0

The solution to this equation could not be determined.

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