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

You have entered [src]

 2        2    
x  + x - y  - y

$$- y + \left(- y^{2} + \left(x^{2} + x\right)\right)$$

x^2 + x - y^2 - y

Factorization [src]

(x - y)*(x + 1 + y)

$$\left(x - y\right) \left(x + \left(y + 1\right)\right)$$

(x - y)*(x + 1 + y)

General simplification [src]

     2        2
x + x  - y - y

$$x^{2} + x - y^{2} - y$$

x + x^2 - y - y^2

Numerical answer [src]

x + x^2 - y - y^2

x + x^2 - y - y^2

Combining rational expressions [src]

      2            
-y - y  + x*(1 + x)

$$x \left(x + 1\right) - y^{2} - y$$

-y - y^2 + x*(1 + x)

Combinatorics [src]

(x - y)*(1 + x + y)

$$\left(x - y\right) \left(x + y + 1\right)$$

(x - y)*(1 + x + y)

Common denominator [src]

     2        2
x + x  - y - y

$$x^{2} + x - y^{2} - y$$

x + x^2 - y - y^2

Powers [src]

     2        2
x + x  - y - y

$$x^{2} + x - y^{2} - y$$

x + x^2 - y - y^2

Trigonometric part [src]

     2        2
x + x  - y - y

$$x^{2} + x - y^{2} - y$$

x + x^2 - y - y^2

Assemble expression [src]

     2        2
x + x  - y - y

$$x^{2} + x - y^{2} - y$$

x + x^2 - y - y^2

Rational denominator [src]

     2        2
x + x  - y - y

$$x^{2} + x - y^{2} - y$$

x + x^2 - y - y^2