(a+b)(a+b)=a^2+2ab+b^2

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


Simplifying
(a + b)(a + b) = a2 + 2ab + b2

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

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

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

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

Reorder the terms:
2ab + a2 + b2 = 2ab + a2 + b2

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

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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