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Least common denominator factorial(x)*factorial(x)/factorial(x-2)/factorial(x-1)

An expression to simplify:

The solution

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