Fraction decomposition
[src]
$$\frac{2}{x^{2}} - \frac{2}{x^{3}}$$
General simplification
[src]
2*(-1 + x)
----------
3
x
$$\frac{2 \left(x - 1\right)}{x^{3}}$$
2*(-1 + x)
----------
3
x
$$\frac{2 \left(x - 1\right)}{x^{3}}$$
/2 -2 + 2*x\
(-1 + x)*|- - --------|
|x 2 |
\ x /
-----------------------
x
$$\frac{\left(\frac{2}{x} - \frac{2 x - 2}{x^{2}}\right) \left(x - 1\right)}{x}$$
/2 2 - 2*x\
(-1 + x)*|- + -------|
|x 2 |
\ x /
----------------------
x
$$\frac{\left(\frac{2}{x} + \frac{2 - 2 x}{x^{2}}\right) \left(x - 1\right)}{x}$$
(-1 + x)*(2/x + (2 - 2*x)/x^2)/x
(-1.0 + x)*(2.0/x - (-2.0 + 2.0*x)/x^2)/x
(-1.0 + x)*(2.0/x - (-2.0 + 2.0*x)/x^2)/x
Combining rational expressions
[src]
2*(-1 + x)
----------
3
x
$$\frac{2 \left(x - 1\right)}{x^{3}}$$
Rational denominator
[src]
/ 2 \
(-1 + x)*\2*x + x*(2 - 2*x)/
-----------------------------
4
x
$$\frac{\left(x - 1\right) \left(2 x^{2} + x \left(2 - 2 x\right)\right)}{x^{4}}$$
(-1 + x)*(2*x^2 + x*(2 - 2*x))/x^4
Assemble expression
[src]
/2 -2 + 2*x\
(-1 + x)*|- - --------|
|x 2 |
\ x /
-----------------------
x
$$\frac{\left(\frac{2}{x} - \frac{2 x - 2}{x^{2}}\right) \left(x - 1\right)}{x}$$
(-1 + x)*(2/x - (-2 + 2*x)/x^2)/x
/2 -2 + 2*x\
(-1 + x)*|- - --------|
|x 2 |
\ x /
-----------------------
x
$$\frac{\left(\frac{2}{x} - \frac{2 x - 2}{x^{2}}\right) \left(x - 1\right)}{x}$$
(-1 + x)*(2/x - (-2 + 2*x)/x^2)/x
$$\frac{2 x - 2}{x^{3}}$$