Descomposición de una fracción
[src]
Abs(1/(n + 1) - 1/sqrt(n))^3
$$\left|{\frac{1}{n + 1} - \frac{1}{\sqrt{n}}}\right|^{3}$$
3
| 1 1 |
|----- - -----|
|n + 1 ___|
| \/ n |
Simplificación general
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| 3|
|/ ___\ |
|\1 + n - \/ n / |
|----------------|
| 3/2 3 |
| n *(1 + n) |
$$\left|{\frac{\left(- \sqrt{n} + n + 1\right)^{3}}{n^{\frac{3}{2}} \left(n + 1\right)^{3}}}\right|$$
Abs((1 + n - sqrt(n))^3/(n^(3/2)*(1 + n)^3))
Abs(1/(sqrt(n)) - 1/(n + 1))^3
Abs(1/(sqrt(n)) - 1/(n + 1))^3
3
| 1 1 |
|----- - -----|
|1 + n ___|
| \/ n |
$$\left|{\frac{1}{n + 1} - \frac{1}{\sqrt{n}}}\right|^{3}$$
Abs(1/(1 + n) - 1/sqrt(n))^3
3
| 1 1 |
|----- - -----|
|1 + n ___|
| \/ n |
$$\left|{\frac{1}{n + 1} - \frac{1}{\sqrt{n}}}\right|^{3}$$
Abs(1/(1 + n) - 1/sqrt(n))^3
Unión de expresiones racionales
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3
| ___|
|1 + n - \/ n |
|-------------|
| 1 + n |
----------------
3
| ___|
|\/ n |
$$\frac{\left|{\frac{- \sqrt{n} + n + 1}{n + 1}}\right|^{3}}{\left|{\sqrt{n}}\right|^{3}}$$
Abs((1 + n - sqrt(n))/(1 + n))^3/Abs(sqrt(n))^3
3
| 1 1 |
|----- - -----|
|1 + n ___|
| \/ n |
$$\left|{\frac{1}{n + 1} - \frac{1}{\sqrt{n}}}\right|^{3}$$
Abs(1/(1 + n) - 1/sqrt(n))^3
Parte trigonométrica
[src]
3
| 1 1 |
|----- - -----|
|1 + n ___|
| \/ n |
$$\left|{\frac{1}{n + 1} - \frac{1}{\sqrt{n}}}\right|^{3}$$
Abs(1/(1 + n) - 1/sqrt(n))^3
Denominador racional
[src]
3
| ___ |
|-n + \/ n *(n + 1)|
|------------------|
| n*(n + 1) |
$$\left|{\frac{\sqrt{n} \left(n + 1\right) - n}{n \left(n + 1\right)}}\right|^{3}$$
Abs((-n + sqrt(n)*(n + 1))/(n*(n + 1)))^3