/ / 2 / 2\\ \
x*\-432*x + \9 + x *\26 - 9*x + 5*x //*(100 - 3*x)/
---------------------------------------------------
/ 2 / 2\\
4*\9 + x *\26 - 9*x + 5*x //
$$\frac{x \left(\left(- 3 x + 100\right) \left(x^{2} \cdot \left(5 x^{2} - 9 x + 26\right) + 9\right) - 432 x\right)}{4 \left(x^{2} \cdot \left(5 x^{2} - 9 x + 26\right) + 9\right)}$$
x*(-432*x + (9 + x^2*(26 - 9*x + 5*x^2))*(100 - 3*x))/(4*(9 + x^2*(26 - 9*x + 5*x^2)))
25*x - 3*x^2/4 - 108*x^2/(9 - 9*x^3 + 5*x^4 + 26*x^2)
$$- \frac{3 x^{2}}{4} - \frac{108 x^{2}}{5 x^{4} - 9 x^{3} + 26 x^{2} + 9} + 25 x$$
2 2
3*x 108*x
25*x - ---- - -----------------------
4 3 4 2
9 - 9*x + 5*x + 26*x
36.0/(-8.66666666666667 + 3.0*x - 3.0/x^2 - 1.66666666666667*x^2) + 25.0*x - 0.75*x^2
36.0/(-8.66666666666667 + 3.0*x - 3.0/x^2 - 1.66666666666667*x^2) + 25.0*x - 0.75*x^2
Рациональный знаменатель
[src]
2
36 3*x
25*x + ---------------------- - ----
2 4
26 3 5*x
- -- - -- + 3*x - ----
3 2 3
x
$$- \frac{3 x^{2}}{4} + 25 x + \frac{36}{- \frac{5 x^{2}}{3} + 3 x - \frac{26}{3} - \frac{3}{x^{2}}}$$
/ 2 4 5 3\
-x*\-900 - 2600*x - 527*x + 15*x + 459*x + 978*x /
------------------------------------------------------
3 4 2
36 - 36*x + 20*x + 104*x
$$- \frac{x \left(15 x^{5} - 527 x^{4} + 978 x^{3} - 2600 x^{2} + 459 x - 900\right)}{20 x^{4} - 36 x^{3} + 104 x^{2} + 36}$$
-x*(-900 - 2600*x^2 - 527*x^4 + 15*x^5 + 459*x + 978*x^3)/(36 - 36*x^3 + 20*x^4 + 104*x^2)
2
36 3*x
25*x + ---------------------- - ----
2 4
26 3 5*x
- -- - -- + 3*x - ----
3 2 3
x
$$- \frac{3 x^{2}}{4} + 25 x + \frac{36}{- \frac{5 x^{2}}{3} + 3 x - \frac{26}{3} - \frac{3}{x^{2}}}$$
25*x + 36/(-26/3 - 3/x^2 + 3*x - 5*x^2/3) - 3*x^2/4
/ 2 4 5 3\
-x*\-900 - 2600*x - 527*x + 15*x + 459*x + 978*x /
------------------------------------------------------
/ 3 4 2\
4*\9 - 9*x + 5*x + 26*x /
$$- \frac{x \left(15 x^{5} - 527 x^{4} + 978 x^{3} - 2600 x^{2} + 459 x - 900\right)}{4 \cdot \left(5 x^{4} - 9 x^{3} + 26 x^{2} + 9\right)}$$
-x*(-900 - 2600*x^2 - 527*x^4 + 15*x^5 + 459*x + 978*x^3)/(4*(9 - 9*x^3 + 5*x^4 + 26*x^2))
Объединение рациональных выражений
[src]
/ 2 4 3 / 2 4 3\\
x*\-900 - 2600*x - 500*x + 432*x + 900*x - 3*x*\-9 - 26*x - 5*x + 9*x //
-----------------------------------------------------------------------------
/ 2 4 3\
4*\-9 - 26*x - 5*x + 9*x /
$$\frac{x \left(- 500 x^{4} + 900 x^{3} - 2600 x^{2} - 3 x \left(- 5 x^{4} + 9 x^{3} - 26 x^{2} - 9\right) + 432 x - 900\right)}{4 \left(- 5 x^{4} + 9 x^{3} - 26 x^{2} - 9\right)}$$
x*(-900 - 2600*x^2 - 500*x^4 + 432*x + 900*x^3 - 3*x*(-9 - 26*x^2 - 5*x^4 + 9*x^3))/(4*(-9 - 26*x^2 - 5*x^4 + 9*x^3))
2
36 3*x
25*x + ---------------------- - ----
2 4
26 3 5*x
- -- - -- + 3*x - ----
3 2 3
x
$$- \frac{3 x^{2}}{4} + 25 x + \frac{36}{- \frac{5 x^{2}}{3} + 3 x - \frac{26}{3} - \frac{3}{x^{2}}}$$
2
36 3*x
25*x + ---------------------------------- - ----
x*x 3 2 1 2 4
--- - 9 - -- + 3*x + x + - - 3*x
3 2 3
x
$$- \frac{3 x^{2}}{4} + 25 x + \frac{36}{- 3 x^{2} + x^{2} + \frac{x x}{3} + 3 x - 9 + \frac{1}{3} - \frac{3}{x^{2}}}$$
25*x + 36/(x*x/3 - 1*9 - 3/(x^2) + 3*x + x^2 + 1/3 - 3*x^2) - 3*x^2/4
2 2
3*x 108*x
25*x - ---- - -----------------------
4 3 4 2
9 - 9*x + 5*x + 26*x
$$- \frac{3 x^{2}}{4} - \frac{108 x^{2}}{5 x^{4} - 9 x^{3} + 26 x^{2} + 9} + 25 x$$
25*x - 3*x^2/4 - 108*x^2/(9 - 9*x^3 + 5*x^4 + 26*x^2)