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Expression simplification/ Factorization polynomials/ x^2-y^2+x+y

Factor polynomial x^2-y^2+x+y

An expression to simplify:

The solution

You have entered [src] 
 2    2        
x  - y  + x + y
$$y + \left(x + \left(x^{2} - y^{2}\right)\right)$$ 
x^2 - y^2 + x + y
Factorization [src] 
(x + y)*(x + 1 - y)
$$\left(x + y\right) \left(x + \left(1 - y\right)\right)$$ 
(x + y)*(x + 1 - y)
General simplification [src] 
         2    2
x + y + x  - y
$$x^{2} + x - y^{2} + y$$ 
x + y + x^2 - y^2
Rational denominator [src] 
         2    2
x + y + x  - y
$$x^{2} + x - y^{2} + y$$ 
x + y + x^2 - y^2
Assemble expression [src] 
         2    2
x + y + x  - y
$$x^{2} + x - y^{2} + y$$ 
x + y + x^2 - y^2
Combining rational expressions [src] 
         2    2
x + y + x  - y
$$x^{2} + x - y^{2} + y$$ 
x + y + x^2 - y^2
Combinatorics [src] 
(x + y)*(1 + x - y)
$$\left(x + y\right) \left(x - y + 1\right)$$ 
(x + y)*(1 + x - y)
Numerical answer [src] 
x + y + x^2 - y^2
x + y + x^2 - y^2
Trigonometric part [src] 
         2    2
x + y + x  - y
$$x^{2} + x - y^{2} + y$$ 
x + y + x^2 - y^2
Common denominator [src] 
         2    2
x + y + x  - y
$$x^{2} + x - y^{2} + y$$ 
x + y + x^2 - y^2
Powers [src] 
         2    2
x + y + x  - y
$$x^{2} + x - y^{2} + y$$ 
x + y + x^2 - y^2
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