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

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


Simplifying
y = a(a + -1b) + b(a + b)
y = (a * a + -1b * a) + b(a + b)

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

Reorder the terms:
y = -1ab + ab + a2 + b2

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

Solving
y = a2 + b2

Solving for variable 'y'.

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

Simplifying
y = a2 + b2

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