Mister Exam

# 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
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)
x + x^2 - y - y^2
x + x^2 - y - y^2