2
750000 + 19*x + 9725*x
-----------------------
/ 2 \
60*\37500 + x + 575*x/
$$\frac{19 x^{2} + 9725 x + 750000}{60 \left(x^{2} + 575 x + 37500\right)}$$
(750000 + 19*x^2 + 9725*x)/(60*(37500 + x^2 + 575*x))
19/60 - 25/(500 + x) + 5/(75 + x)
$$\frac{19}{60} - \frac{25}{x + 500} + \frac{5}{x + 75}$$
19 25 5
-- - ------- + ------
60 500 + x 75 + x
4 1 1
-- + ------ + ----------
15 x 10000
15 + - 20 + -----
5 x
$$\frac{4}{15} + \frac{1}{\frac{x}{5} + 15} + \frac{1}{20 + \frac{10000}{x}}$$
4/15 + 1/(15 + x/5) + 1/(20 + 10000/x)
0.266666666666667 + 1/(20.0 + 10000.0/x) + 1/(15.0 + 0.2*x)
0.266666666666667 + 1/(20.0 + 10000.0/x) + 1/(15.0 + 0.2*x)
19 625 - 20*x
-- + ------------------
60 2
37500 + x + 575*x
$$\frac{- 20 x + 625}{x^{2} + 575 x + 37500} + \frac{19}{60}$$
19/60 + (625 - 20*x)/(37500 + x^2 + 575*x)
Рациональный знаменатель
[src]
4 1 1
-- + ------ + ----------
15 x 10000
15 + - 20 + -----
5 x
$$\frac{4}{15} + \frac{1}{\frac{x}{5} + 15} + \frac{1}{20 + \frac{10000}{x}}$$
2
1 1000000 + 25*x + 12375*x
-- + -------------------------
15 100*(75 + x)*(500 + x)
$$\frac{1}{15} + \frac{25 x^{2} + 12375 x + 1000000}{100 \left(x + 75\right) \left(x + 500\right)}$$
1/15 + (1000000 + 25*x^2 + 12375*x)/(100*(75 + x)*(500 + x))
4 1 1
-- + ------ + ----------
15 x 10000
15 + - 20 + -----
5 x
$$\frac{4}{15} + \frac{1}{\frac{x}{5} + 15} + \frac{1}{20 + \frac{10000}{x}}$$
4/15 + 1/(15 + x/5) + 1/(20 + 10000/x)
2
750000 + 19*x + 9725*x
-----------------------
60*(75 + x)*(500 + x)
$$\frac{19 x^{2} + 9725 x + 750000}{60 \left(x + 75\right) \left(x + 500\right)}$$
(750000 + 19*x^2 + 9725*x)/(60*(75 + x)*(500 + x))
Объединение рациональных выражений
[src]
150000 + 300*x + 3*x*(75 + x) + 16*(75 + x)*(500 + x)
-----------------------------------------------------
60*(75 + x)*(500 + x)
$$\frac{3 x \left(x + 75\right) + 16 \left(x + 75\right) \left(x + 500\right) + 300 x + 150000}{60 \left(x + 75\right) \left(x + 500\right)}$$
(150000 + 300*x + 3*x*(75 + x) + 16*(75 + x)*(500 + x))/(60*(75 + x)*(500 + x))