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

An expression to simplify:

The solution

You have entered [src]
              2
-y + x*y - 2*y 
$$- 2 y^{2} + \left(x y - y\right)$$
-y + x*y - 2*y^2
Factorization [src]
(x + -1 - 2*y)*y
$$y \left(x + \left(- 2 y - 1\right)\right)$$
(x - 1 - 2*y)*y
General simplification [src]
y*(-1 + x - 2*y)
$$y \left(x - 2 y - 1\right)$$
y*(-1 + x - 2*y)
Numerical answer [src]
-y - 2.0*y^2 + x*y
-y - 2.0*y^2 + x*y
Common denominator [src]
        2      
-y - 2*y  + x*y
$$x y - 2 y^{2} - y$$
-y - 2*y^2 + x*y
Assemble expression [src]
        2      
-y - 2*y  + x*y
$$x y - 2 y^{2} - y$$
     2             
- 2*y  + y*(-1 + x)
$$- 2 y^{2} + y \left(x - 1\right)$$
-2*y^2 + y*(-1 + x)
Combinatorics [src]
y*(-1 + x - 2*y)
$$y \left(x - 2 y - 1\right)$$
y*(-1 + x - 2*y)
Combining rational expressions [src]
y*(-1 + x - 2*y)
$$y \left(x - 2 y - 1\right)$$
y*(-1 + x - 2*y)
Rational denominator [src]
        2      
-y - 2*y  + x*y
$$x y - 2 y^{2} - y$$
-y - 2*y^2 + x*y
Trigonometric part [src]
        2      
-y - 2*y  + x*y
$$x y - 2 y^{2} - y$$
-y - 2*y^2 + x*y
Powers [src]
        2      
-y - 2*y  + x*y
$$x y - 2 y^{2} - y$$
-y - 2*y^2 + x*y