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

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


Simplifying
(a + b)(a + b) + (a + -1b)(a + -1b) = 0

Multiply (a + b) * (a + b)
(a(a + b) + b(a + b)) + (a + -1b)(a + -1b) = 0
((a * a + b * a) + b(a + b)) + (a + -1b)(a + -1b) = 0

Reorder the terms:
((ab + a2) + b(a + b)) + (a + -1b)(a + -1b) = 0
((ab + a2) + b(a + b)) + (a + -1b)(a + -1b) = 0
(ab + a2 + (a * b + b * b)) + (a + -1b)(a + -1b) = 0
(ab + a2 + (ab + b2)) + (a + -1b)(a + -1b) = 0

Reorder the terms:
(ab + ab + a2 + b2) + (a + -1b)(a + -1b) = 0

Combine like terms: ab + ab = 2ab
(2ab + a2 + b2) + (a + -1b)(a + -1b) = 0

Multiply (a + -1b) * (a + -1b)
2ab + a2 + b2 + (a(a + -1b) + -1b * (a + -1b)) = 0
2ab + a2 + b2 + ((a * a + -1b * a) + -1b * (a + -1b)) = 0

Reorder the terms:
2ab + a2 + b2 + ((-1ab + a2) + -1b * (a + -1b)) = 0
2ab + a2 + b2 + ((-1ab + a2) + -1b * (a + -1b)) = 0
2ab + a2 + b2 + (-1ab + a2 + (a * -1b + -1b * -1b)) = 0
2ab + a2 + b2 + (-1ab + a2 + (-1ab + 1b2)) = 0

Reorder the terms:
2ab + a2 + b2 + (-1ab + -1ab + a2 + 1b2) = 0

Combine like terms: -1ab + -1ab = -2ab
2ab + a2 + b2 + (-2ab + a2 + 1b2) = 0

Reorder the terms:
2ab + -2ab + a2 + a2 + b2 + 1b2 = 0

Combine like terms: 2ab + -2ab = 0
0 + a2 + a2 + b2 + 1b2 = 0
a2 + a2 + b2 + 1b2 = 0

Combine like terms: a2 + a2 = 2a2
2a2 + b2 + 1b2 = 0

Combine like terms: b2 + 1b2 = 2b2
2a2 + 2b2 = 0

Solving
2a2 + 2b2 = 0

Solving for variable 'a'.

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

Add '-2b2' to each side of the equation.
2a2 + 2b2 + -2b2 = 0 + -2b2

Combine like terms: 2b2 + -2b2 = 0
2a2 + 0 = 0 + -2b2
2a2 = 0 + -2b2
Remove the zero:
2a2 = -2b2

Divide each side by '2'.
a2 = -1b2

Simplifying
a2 = -1b2

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

The solution to this equation could not be determined.

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