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 + -1b)
Y = (a * a + -1b * a) + b(a + -1b)

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

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

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

Solving
Y = a2 + -1b2

Solving for variable 'Y'.

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

Simplifying
Y = a2 + -1b2

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