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x+y+\frac{\left(x+y\right)\left(x-y\right)}{x-y}
Factor the expressions that are not already factored in \frac{x^{2}-y^{2}}{x-y}.
x+y+x+y
Cancel out x-y in both numerator and denominator.
2x+y+y
Combine x and x to get 2x.
2x+2y
Combine y and y to get 2y.
x+y+\frac{\left(x+y\right)\left(x-y\right)}{x-y}
Factor the expressions that are not already factored in \frac{x^{2}-y^{2}}{x-y}.
x+y+x+y
Cancel out x-y in both numerator and denominator.
2x+y+y
Combine x and x to get 2x.
2x+2y
Combine y and y to get 2y.