Mister Exam

Lang:

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

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

General simplification [src]

     2        2
x + x  - y - y

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

x + x^2 - y - y^2

Factorization [src]

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

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

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

Combining rational expressions [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

Rational denominator [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

Common denominator [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

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 + x^2 - y - y^2

x + x^2 - y - y^2