General simplification
[src]
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
/ ___\ / ___\
| 1 I*\/ 3 | | 1 I*\/ 3 |
(x + 1/2)*|x + - + -------|*|x + - - -------|
\ 2 2 / \ 2 2 /
$$\left(x + \frac{1}{2}\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(x + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$
((x + 1/2)*(x + 1/2 + i*sqrt(3)/2))*(x + 1/2 - i*sqrt(3)/2)
1.0 + 2.0*x^3 + 3.0*x + 3.0*x^2
1.0 + 2.0*x^3 + 3.0*x + 3.0*x^2
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
Combining rational expressions
[src]
$$x \left(x \left(2 x + 3\right) + 3\right) + 1$$
Assemble expression
[src]
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
Rational denominator
[src]
$$2 x^{3} + 3 x^{2} + 3 x + 1$$
/ 2\
(1 + 2*x)*\1 + x + x /
$$\left(2 x + 1\right) \left(x^{2} + x + 1\right)$$