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Expression simplification/ Factorization polynomials/ y^2+x*y-4*x-9*y+20

Factor polynomial y^2+x*y-4*x-9*y+20

An expression to simplify:

The solution

You have entered [src] 
 2                       
y  + x*y - 4*x - 9*y + 20
$$\left(- 9 y + \left(- 4 x + \left(x y + y^{2}\right)\right)\right) + 20$$ 
y^2 + x*y - 4*x - 9*y + 20
General simplification [src] 
      2                  
20 + y  - 9*y - 4*x + x*y
$$x y - 4 x + y^{2} - 9 y + 20$$ 
20 + y^2 - 9*y - 4*x + x*y
Factorization [src] 
(x + -5 + y)*(y - 4)
$$\left(x + \left(y - 5\right)\right) \left(y - 4\right)$$ 
(x - 5 + y)*(y - 4)
Common denominator [src] 
      2                  
20 + y  - 9*y - 4*x + x*y
$$x y - 4 x + y^{2} - 9 y + 20$$ 
20 + y^2 - 9*y - 4*x + x*y
Trigonometric part [src] 
      2                  
20 + y  - 9*y - 4*x + x*y
$$x y - 4 x + y^{2} - 9 y + 20$$ 
20 + y^2 - 9*y - 4*x + x*y
Rational denominator [src] 
      2                  
20 + y  - 9*y - 4*x + x*y
$$x y - 4 x + y^{2} - 9 y + 20$$ 
20 + y^2 - 9*y - 4*x + x*y
Combining rational expressions [src] 
20 - 9*y - 4*x + y*(x + y)
$$- 4 x + y \left(x + y\right) - 9 y + 20$$ 
20 - 9*y - 4*x + y*(x + y)
Numerical answer [src] 
20.0 + y^2 - 4.0*x - 9.0*y + x*y
20.0 + y^2 - 4.0*x - 9.0*y + x*y
Combinatorics [src] 
(-4 + y)*(-5 + x + y)
$$\left(y - 4\right) \left(x + y - 5\right)$$ 
(-4 + y)*(-5 + x + y)
Powers [src] 
      2                  
20 + y  - 9*y - 4*x + x*y
$$x y - 4 x + y^{2} - 9 y + 20$$ 
20 + y^2 - 9*y - 4*x + x*y
Assemble expression [src] 
      2                   
20 + y  - 4*x + y*(-9 + x)
$$- 4 x + y^{2} + y \left(x - 9\right) + 20$$ 
      2                   
20 + y  - 9*y + x*(-4 + y)
$$x \left(y - 4\right) + y^{2} - 9 y + 20$$ 
      2                  
20 + y  - 9*y - 4*x + x*y
$$x y - 4 x + y^{2} - 9 y + 20$$ 
20 + y^2 - 9*y - 4*x + x*y
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