(a+b)*(a-b)=10

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Solution for (a+b)*(a-b)=10 equation: 


Simplifying
(a + b)(a + -1b) = 10

Multiply (a + b) * (a + -1b)
(a(a + -1b) + b(a + -1b)) = 10
((a * a + -1b * a) + b(a + -1b)) = 10

Reorder the terms:
((-1ab + a2) + b(a + -1b)) = 10
((-1ab + a2) + b(a + -1b)) = 10
(-1ab + a2 + (a * b + -1b * b)) = 10
(-1ab + a2 + (ab + -1b2)) = 10

Reorder the terms:
(-1ab + ab + a2 + -1b2) = 10

Combine like terms: -1ab + ab = 0
(0 + a2 + -1b2) = 10
(a2 + -1b2) = 10

Solving
a2 + -1b2 = 10

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
a2 + -1b2 + b2 = 10 + b2

Combine like terms: -1b2 + b2 = 0
a2 + 0 = 10 + b2
a2 = 10 + b2

Simplifying
a2 = 10 + b2

Reorder the terms:
-10 + a2 + -1b2 = 10 + b2 + -10 + -1b2

Reorder the terms:
-10 + a2 + -1b2 = 10 + -10 + b2 + -1b2

Combine like terms: 10 + -10 = 0
-10 + a2 + -1b2 = 0 + b2 + -1b2
-10 + a2 + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-10 + a2 + -1b2 = 0

The solution to this equation could not be determined.

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