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Expression simplification/ Factorization polynomials/ x^3-3*x^2*y-4*x*y+12*y

Factor polynomial x^3-3*x^2*y-4*x*y+12*y

An expression to simplify:

The solution

You have entered [src] 
 3      2                 
x  - 3*x *y - 4*x*y + 12*y
$$12 y + \left(- 4 x y + \left(x^{3} - 3 x^{2} y\right)\right)$$ 
x^3 - 3*x^2*y - 4*x*y + 12*y
General simplification [src] 
 3                       2
x  + 12*y - 4*x*y - 3*y*x
$$x^{3} - 3 x^{2} y - 4 x y + 12 y$$ 
x^3 + 12*y - 4*x*y - 3*y*x^2
Factorization [src] 
            3       
           x        
y - ----------------
             2      
    -12 + 3*x  + 4*x
$$- \frac{x^{3}}{3 x^{2} + 4 x - 12} + y$$ 
y - x^3/(-12 + 3*x^2 + 4*x)
Common denominator [src] 
 3                       2
x  + 12*y - 4*x*y - 3*y*x
$$x^{3} - 3 x^{2} y - 4 x y + 12 y$$ 
x^3 + 12*y - 4*x*y - 3*y*x^2
Assemble expression [src] 
 3     /              2\
x  + y*\12 - 4*x - 3*x /
$$x^{3} + y \left(- 3 x^{2} - 4 x + 12\right)$$ 
 3                       2
x  + 12*y - 4*x*y - 3*y*x
$$x^{3} - 3 x^{2} y - 4 x y + 12 y$$ 
x^3 + 12*y - 4*x*y - 3*y*x^2
Rational denominator [src] 
 3                       2
x  + 12*y - 4*x*y - 3*y*x
$$x^{3} - 3 x^{2} y - 4 x y + 12 y$$ 
x^3 + 12*y - 4*x*y - 3*y*x^2
Trigonometric part [src] 
 3                       2
x  + 12*y - 4*x*y - 3*y*x
$$x^{3} - 3 x^{2} y - 4 x y + 12 y$$ 
x^3 + 12*y - 4*x*y - 3*y*x^2
Combinatorics [src] 
 3                       2
x  + 12*y - 4*x*y - 3*y*x
$$x^{3} - 3 x^{2} y - 4 x y + 12 y$$ 
x^3 + 12*y - 4*x*y - 3*y*x^2
Numerical answer [src] 
x^3 + 12.0*y - 4.0*x*y - 3.0*y*x^2
x^3 + 12.0*y - 4.0*x*y - 3.0*y*x^2
Combining rational expressions [src] 
12*y + x*(-4*y + x*(x - 3*y))
$$x \left(x \left(x - 3 y\right) - 4 y\right) + 12 y$$ 
12*y + x*(-4*y + x*(x - 3*y))
Powers [src] 
 3                       2
x  + 12*y - 4*x*y - 3*y*x
$$x^{3} - 3 x^{2} y - 4 x y + 12 y$$ 
x^3 + 12*y - 4*x*y - 3*y*x^2
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