General simplification
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$$x \left(x^{4} - 2 x^{2} + 4\right)$$
/ ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\
| \/ 6 I*\/ 2 | | \/ 6 I*\/ 2 | | \/ 6 I*\/ 2 | | \/ 6 I*\/ 2 |
x*|x + ----- + -------|*|x + ----- - -------|*|x + - ----- + -------|*|x + - ----- - -------|
\ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$x \left(x + \left(\frac{\sqrt{6}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{6}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{6}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{6}}{2} - \frac{\sqrt{2} i}{2}\right)\right)$$
(((x*(x + sqrt(6)/2 + i*sqrt(2)/2))*(x + sqrt(6)/2 - i*sqrt(2)/2))*(x - sqrt(6)/2 + i*sqrt(2)/2))*(x - sqrt(6)/2 - i*sqrt(2)/2)
Rational denominator
[src]
$$x^{5} - 2 x^{3} + 4 x$$
Assemble expression
[src]
$$x^{5} - 2 x^{3} + 4 x$$
$$x^{5} - 2 x^{3} + 4 x$$
$$x \left(x^{4} - 2 x^{2} + 4\right)$$
Combining rational expressions
[src]
/ 2 / 2\\
x*\4 + x *\-2 + x //
$$x \left(x^{2} \left(x^{2} - 2\right) + 4\right)$$
$$x^{5} - 2 x^{3} + 4 x$$
$$x^{5} - 2 x^{3} + 4 x$$