General simplification
[src]
x
-------------
2
-3 + x + 2*x
$$\frac{x}{x^{2} + 2 x - 3}$$
Fraction decomposition
[src]
1/(4*(-1 + x)) + 3/(4*(3 + x))
$$\frac{3}{4 \left(x + 3\right)} + \frac{1}{4 \left(x - 1\right)}$$
1 3
---------- + ---------
4*(-1 + x) 4*(3 + x)
Assemble expression
[src]
x
-------------
2
-3 + x + 2*x
$$\frac{x}{x^{2} + 2 x - 3}$$
x
----------------
(-1 + x)*(3 + x)
$$\frac{x}{\left(x - 1\right) \left(x + 3\right)}$$
x
-------------
2
-3 + x + 2*x
$$\frac{x}{x^{2} + 2 x - 3}$$
x
-------------
2
-3 + x + 2*x
$$\frac{x}{x^{2} + 2 x - 3}$$
Rational denominator
[src]
x
-------------
2
-3 + x + 2*x
$$\frac{x}{x^{2} + 2 x - 3}$$
x
-------------
2
-3 + x + 2*x
$$\frac{x}{x^{2} + 2 x - 3}$$
Combining rational expressions
[src]
x
--------------
-3 + x*(2 + x)
$$\frac{x}{x \left(x + 2\right) - 3}$$