Mister Exam

# Factor polynomial x1*x2+x1^2*x3^2+x2*x3

An expression to simplify:

### The solution

You have entered [src]
          2   2
x1*x2 + x1 *x3  + x2*x3
$$x_{2} x_{3} + \left(x_{1}^{2} x_{3}^{2} + x_{1} x_{2}\right)$$
x1*x2 + x1^2*x3^2 + x2*x3
General simplification [src]
                  2   2
x1*x2 + x2*x3 + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{1} x_{2} + x_{2} x_{3}$$
x1*x2 + x2*x3 + x1^2*x3^2
x1*x2 + x2*x3 + x1^2*x3^2
x1*x2 + x2*x3 + x1^2*x3^2
Assemble expression [src]
                 2   2
x2*(x1 + x3) + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{2} \left(x_{1} + x_{3}\right)$$
                  2   2
x1*x2 + x2*x3 + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{1} x_{2} + x_{2} x_{3}$$
x1*x2 + x2*x3 + x1^2*x3^2
Rational denominator [src]
                  2   2
x1*x2 + x2*x3 + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{1} x_{2} + x_{2} x_{3}$$
x1*x2 + x2*x3 + x1^2*x3^2
Combining rational expressions [src]
   /          2\
x1*\x2 + x1*x3 / + x2*x3
$$x_{1} \left(x_{1} x_{3}^{2} + x_{2}\right) + x_{2} x_{3}$$
x1*(x2 + x1*x3^2) + x2*x3
Common denominator [src]
                  2   2
x1*x2 + x2*x3 + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{1} x_{2} + x_{2} x_{3}$$
x1*x2 + x2*x3 + x1^2*x3^2
Combinatorics [src]
                  2   2
x1*x2 + x2*x3 + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{1} x_{2} + x_{2} x_{3}$$
x1*x2 + x2*x3 + x1^2*x3^2
Trigonometric part [src]
                  2   2
x1*x2 + x2*x3 + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{1} x_{2} + x_{2} x_{3}$$
x1*x2 + x2*x3 + x1^2*x3^2
Powers [src]
                  2   2
x1*x2 + x2*x3 + x1 *x3 
$$x_{1}^{2} x_{3}^{2} + x_{1} x_{2} + x_{2} x_{3}$$
x1*x2 + x2*x3 + x1^2*x3^2