Fraction decomposition
[src]
-540000000000*(1 + 300000*i)/(90000000000 + x)^4
$$- \frac{540000000000 \left(1 + 300000 i\right)}{\left(x + 90000000000\right)^{4}}$$
-540000000000*(1 + 300000*I)
----------------------------
4
(90000000000 + x)
General simplification
[src]
-(540000000000 + 162000000000000000*I)
---------------------------------------
4
(90000000000 + x)
$$- \frac{540000000000 + 162000000000000000 i}{\left(x + 90000000000\right)^{4}}$$
-(540000000000 + 162000000000000000*i)/(90000000000 + x)^4
Assemble expression
[src]
-540000000000 - 162000000000000000*I
------------------------------------
4
(90000000000 + x)
$$\frac{-540000000000 - 162000000000000000 i}{\left(x + 90000000000\right)^{4}}$$
(-540000000000 - 162000000000000000*i)/(90000000000 + x)^4
Combining rational expressions
[src]
-540000000000 - 162000000000000000*I
------------------------------------
4
(90000000000 + x)
$$\frac{-540000000000 - 162000000000000000 i}{\left(x + 90000000000\right)^{4}}$$
(-540000000000 - 162000000000000000*i)/(90000000000 + x)^4
-540000000000 - 162000000000000000*I
------------------------------------
4
(90000000000 + x)
$$\frac{-540000000000 - 162000000000000000 i}{\left(x + 90000000000\right)^{4}}$$
(-540000000000 - 162000000000000000*i)/(90000000000 + x)^4
-540000000000 - 162000000000000000*I
------------------------------------
4
(90000000000 + x)
$$\frac{-540000000000 - 162000000000000000 i}{\left(x + 90000000000\right)^{4}}$$
(-540000000000 - 162000000000000000*i)/(90000000000 + x)^4
-540000000000*(1 + 300000*I)
----------------------------
4
(90000000000 + x)
$$- \frac{540000000000 \left(1 + 300000 i\right)}{\left(x + 90000000000\right)^{4}}$$
-540000000000*(1 + 300000*i)/(90000000000 + x)^4
Rational denominator
[src]
-540000000000 - 162000000000000000*I
------------------------------------
4
(90000000000 + x)
$$\frac{-540000000000 - 162000000000000000 i}{\left(x + 90000000000\right)^{4}}$$
(-540000000000 - 162000000000000000*i)/(90000000000 + x)^4
-(540000000000 + 162000000000000000*I)
---------------------------------------------------------------------------------------------------------------------------------------
4 3 2
65610000000000000000000000000000000000000000 + x + 360000000000*x + 48600000000000000000000*x + 2916000000000000000000000000000000*x
$$- \frac{540000000000 + 162000000000000000 i}{x^{4} + 360000000000 x^{3} + 48600000000000000000000 x^{2} + 2916000000000000000000000000000000 x + 65610000000000000000000000000000000000000000}$$
-(540000000000 + 162000000000000000*i)/(65610000000000000000000000000000000000000000 + x^4 + 360000000000*x^3 + 48600000000000000000000*x^2 + 2916000000000000000000000000000000*x)
1.52415790275873e-44*(-540000000000.0 - 1.62e+17*i)/(1 + 1.11111111111111e-11*x)^4
1.52415790275873e-44*(-540000000000.0 - 1.62e+17*i)/(1 + 1.11111111111111e-11*x)^4