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Factor polynomial x*y^3-x^3*y^2

An expression to simplify:

The solution

You have entered [src]
   3    3  2
x*y  - x *y 
$$- x^{3} y^{2} + x y^{3}$$
x*y^3 - x^3*y^2
General simplification [src]
   2 /     2\
x*y *\y - x /
$$x y^{2} \left(- x^{2} + y\right)$$
x*y^2*(y - x^2)
Factorization [src]
  /      ___\ /      ___\  
x*\x + \/ y /*\x - \/ y /*y
$$y x \left(x + \sqrt{y}\right) \left(x - \sqrt{y}\right)$$
((x*(x + sqrt(y)))*(x - sqrt(y)))*y
Numerical answer [src]
x*y^3 - x^3*y^2
x*y^3 - x^3*y^2
Combinatorics [src]
    2 / 2    \
-x*y *\x  - y/
$$- x y^{2} \left(x^{2} - y\right)$$
-x*y^2*(x^2 - y)
Combining rational expressions [src]
   2 /     2\
x*y *\y - x /
$$x y^{2} \left(- x^{2} + y\right)$$
x*y^2*(y - x^2)