-153663/19208 - 7*b - 424/(540225*(-1 + 7*b)^2) - 1/(56*(-1 + 8*b)) + 2/(3375*(1 + 8*b)) + 8/(36015*(-1 + 7*b)^3) + 141767/(8103375*(-1 + 7*b))
$$- 7 b - \frac{153663}{19208} + \frac{2}{3375 \cdot \left(8 b + 1\right)} - \frac{1}{56 \cdot \left(8 b - 1\right)} + \frac{141767}{8103375 \cdot \left(7 b - 1\right)} - \frac{424}{540225 \left(7 b - 1\right)^{2}} + \frac{8}{36015 \left(7 b - 1\right)^{3}}$$
153663 424 1 2 8 141767
- ------ - 7*b - ------------------ - ------------- + -------------- + ----------------- + ------------------
19208 2 56*(-1 + 8*b) 3375*(1 + 8*b) 3 8103375*(-1 + 7*b)
540225*(-1 + 7*b) 36015*(-1 + 7*b)
1 8
- + ------------
b 1 14
49 + -- - --
2 b
b
-8 - 7*b + ------------------
/ 7\ / 1 \
|49 - -|*|64 - --|
\ b/ | 2|
\ b /
$$- 7 b - 8 + \frac{\frac{8}{49 - \frac{14}{b} + \frac{1}{b^{2}}} + \frac{1}{b}}{\left(49 - \frac{7}{b}\right) \left(64 - \frac{1}{b^{2}}\right)}$$
-8 - 7*b + (1/b + 8/(49 + b^(-2) - 14/b))/((49 - 7/b)*(64 - 1/b^2))
-8.0 - 7.0*b + (1/b + 8.0/(49.0 + b^(-2) - 14.0/b))/((-64.0 + b^(-2))*(-49.0 + 7.0/b))
-8.0 - 7.0*b + (1/b + 8.0/(49.0 + b^(-2) - 14.0/b))/((-64.0 + b^(-2))*(-49.0 + 7.0/b))
Рациональный знаменатель
[src]
1 8
-8 + ----------------------- - 7*b + --------------------------------------
49 7 65856 147 7 581 7007
-448 - -- + -- + 3136*b 153664 - ----- - --- + -- + --- + ----
b 2 b 4 5 3 2
b b b b b
$$- 7 b - 8 + \frac{8}{153664 - \frac{65856}{b} + \frac{7007}{b^{2}} + \frac{581}{b^{3}} - \frac{147}{b^{4}} + \frac{7}{b^{5}}} + \frac{1}{3136 b - 448 - \frac{49}{b} + \frac{7}{b^{2}}}$$
3 / 2 4 3\ / 2\ / 2 3\
b *\b - 14*b + 8*b + 49*b / + b*\1 - 64*b /*(-8 - 7*b)*(7 - 49*b)*\b - 14*b + 49*b /
---------------------------------------------------------------------------------------
/ 2\ / 2 3\
b*\1 - 64*b /*(7 - 49*b)*\b - 14*b + 49*b /
$$\frac{b \left(- 64 b^{2} + 1\right) \left(- 49 b + 7\right) \left(- 7 b - 8\right) \left(49 b^{3} - 14 b^{2} + b\right) + b^{3} \cdot \left(8 b^{4} + 49 b^{3} - 14 b^{2} + b\right)}{b \left(- 64 b^{2} + 1\right) \left(- 49 b + 7\right) \left(49 b^{3} - 14 b^{2} + b\right)}$$
(b^3*(b - 14*b^2 + 8*b^4 + 49*b^3) + b*(1 - 64*b^2)*(-8 - 7*b)*(7 - 49*b)*(b - 14*b^2 + 49*b^3))/(b*(1 - 64*b^2)*(7 - 49*b)*(b - 14*b^2 + 49*b^3))
/ 4 2 3 5 6\
-\56 - 477848*b - 1127*b + 3618*b + 60137*b + 768312*b + 1075648*b /
-------------------------------------------------------------------------
3
7*(1 + 8*b)*(-1 + 7*b) *(-1 + 8*b)
$$- \frac{1075648 b^{6} + 768312 b^{5} - 477848 b^{4} + 60137 b^{3} + 3618 b^{2} - 1127 b + 56}{7 \left(7 b - 1\right)^{3} \cdot \left(8 b - 1\right) \left(8 b + 1\right)}$$
-(56 - 477848*b^4 - 1127*b + 3618*b^2 + 60137*b^3 + 768312*b^5 + 1075648*b^6)/(7*(1 + 8*b)*(-1 + 7*b)^3*(-1 + 8*b))
1 8
- + ------------
b 1 14
49 + -- - --
2 b
b
-8 - 7*b + --------------------
/ 1 \ / 7\
|-64 + --|*|-49 + -|
| 2| \ b/
\ b /
$$- 7 b - 8 + \frac{\frac{8}{49 - \frac{14}{b} + \frac{1}{b^{2}}} + \frac{1}{b}}{\left(-64 + \frac{1}{b^{2}}\right) \left(-49 + \frac{7}{b}\right)}$$
-8 - 7*b + (1/b + 8/(49 + b^(-2) - 14/b))/((-64 + b^(-2))*(-49 + 7/b))
3 2 4
153663 -1 - 39417*b + 21*b + 2661*b + 143864*b
- ------ - 7*b + -------------------------------------------------------------------------
19208 4 2 3 5
19208 - 180708864*b - 403368*b + 1594264*b + 19227208*b + 421654016*b
$$- 7 b + \frac{143864 b^{4} - 39417 b^{3} + 2661 b^{2} + 21 b - 1}{421654016 b^{5} - 180708864 b^{4} + 19227208 b^{3} + 1594264 b^{2} - 403368 b + 19208} - \frac{153663}{19208}$$
-153663/19208 - 7*b + (-1 - 39417*b^3 + 21*b + 2661*b^2 + 143864*b^4)/(19208 - 180708864*b^4 - 403368*b + 1594264*b^2 + 19227208*b^3 + 421654016*b^5)
Объединение рациональных выражений
[src]
2 / 3 2\ / 2\ / 2\ / 2\ / 2\
b *\1 - 14*b + 8*b + 49*b / - 56*\1 - 64*b /*(1 - 7*b)*\1 - 14*b + 49*b / - 49*b*\1 - 64*b /*(1 - 7*b)*\1 - 14*b + 49*b /
--------------------------------------------------------------------------------------------------------------------------
/ 2\ / 2\
7*\1 - 64*b /*(1 - 7*b)*\1 - 14*b + 49*b /
$$\frac{- 49 b \left(- 7 b + 1\right) \left(- 64 b^{2} + 1\right) \left(49 b^{2} - 14 b + 1\right) + b^{2} \cdot \left(8 b^{3} + 49 b^{2} - 14 b + 1\right) - 56 \cdot \left(- 7 b + 1\right) \left(- 64 b^{2} + 1\right) \left(49 b^{2} - 14 b + 1\right)}{7 \cdot \left(- 7 b + 1\right) \left(- 64 b^{2} + 1\right) \left(49 b^{2} - 14 b + 1\right)}$$
(b^2*(1 - 14*b + 8*b^3 + 49*b^2) - 56*(1 - 64*b^2)*(1 - 7*b)*(1 - 14*b + 49*b^2) - 49*b*(1 - 64*b^2)*(1 - 7*b)*(1 - 14*b + 49*b^2))/(7*(1 - 64*b^2)*(1 - 7*b)*(1 - 14*b + 49*b^2))
1 8
- + ------------
b 1 14
49 + -- - --
2 b
b
-8 - 7*b + --------------------
/ 1 \ / 7\
|-64 + --|*|-49 + -|
| 2| \ b/
\ b /
$$- 7 b - 8 + \frac{\frac{8}{49 - \frac{14}{b} + \frac{1}{b^{2}}} + \frac{1}{b}}{\left(-64 + \frac{1}{b^{2}}\right) \left(-49 + \frac{7}{b}\right)}$$
1 8
- + ------------
b 1 14
-- - -- + 49
2 b
b
-8 - 7*b + ------------------
/1 \ /7 \
|-- - 64|*|- - 49|
| 2 | \b /
\b /
$$- 7 b - 8 + \frac{\frac{8}{49 - \frac{14}{b} + \frac{1}{b^{2}}} + \frac{1}{b}}{\left(\left(-1\right) 49 + \frac{7}{b}\right) \left(\left(-1\right) 64 + \frac{1}{b^{2}}\right)}$$
-8 - 7*b + (1/b + 8/(b^(-2) - 14/b + 49))/((b^(-2) - 1*64)*(7/b - 1*49))