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

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


Simplifying
y2 + -1a2 = (a + b) * 2 + -1a(a + b)

Reorder the terms:
-1a2 + y2 = (a + b) * 2 + -1a(a + b)

Reorder the terms for easier multiplication:
-1a2 + y2 = 2(a + b) + -1a(a + b)
-1a2 + y2 = (a * 2 + b * 2) + -1a(a + b)
-1a2 + y2 = (2a + 2b) + -1a(a + b)
-1a2 + y2 = 2a + 2b + (a * -1a + b * -1a)

Reorder the terms:
-1a2 + y2 = 2a + 2b + (-1ab + -1a2)
-1a2 + y2 = 2a + 2b + (-1ab + -1a2)

Reorder the terms:
-1a2 + y2 = 2a + -1ab + -1a2 + 2b

Add 'a2' to each side of the equation.
-1a2 + a2 + y2 = 2a + -1ab + -1a2 + a2 + 2b

Combine like terms: -1a2 + a2 = 0
0 + y2 = 2a + -1ab + -1a2 + a2 + 2b
y2 = 2a + -1ab + -1a2 + a2 + 2b

Combine like terms: -1a2 + a2 = 0
y2 = 2a + -1ab + 0 + 2b
y2 = 2a + -1ab + 2b

Solving
y2 = 2a + -1ab + 2b

Solving for variable 'y'.

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

Simplifying
y2 = 2a + -1ab + 2b

Reorder the terms:
-2a + ab + -2b + y2 = 2a + -1ab + 2b + -2a + ab + -2b

Reorder the terms:
-2a + ab + -2b + y2 = 2a + -2a + -1ab + ab + 2b + -2b

Combine like terms: 2a + -2a = 0
-2a + ab + -2b + y2 = 0 + -1ab + ab + 2b + -2b
-2a + ab + -2b + y2 = -1ab + ab + 2b + -2b

Combine like terms: -1ab + ab = 0
-2a + ab + -2b + y2 = 0 + 2b + -2b
-2a + ab + -2b + y2 = 2b + -2b

Combine like terms: 2b + -2b = 0
-2a + ab + -2b + y2 = 0

The solution to this equation could not be determined.

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