Господин Экзамен
Общий знаменатель p1*(p3-y)-(p4*x)/(p7*(1+(p5/y)+(y/p6)))
Решение
Вы ввели
[src]
p4*x
p1*(p3 - y) - ----------------
/ p5 y \
p7*|1 + -- + --|
\ y p6/
$$p_{1} \left(p_{3} - y\right) - \frac{p_{4} x}{p_{7} \left(\frac{p_{5}}{y} + 1 + \frac{y}{p_{6}}\right)}$$
p1*(p3 - y) - p4*x/(p7*(1 + p5/y + y/p6))
Численный ответ
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p1*(p3 - y) - p4*x/(p7*(1.0 + p5/y + y/p6))
p1*(p3 - y) - p4*x/(p7*(1.0 + p5/y + y/p6))
Рациональный знаменатель
[src]
p4*x
p1*p3 - p1*y - -----------------
p5*p7 p7*y
p7 + ----- + ----
y p6
$$p_{1} p_{3} - p_{1} y - \frac{p_{4} x}{\frac{p_{5} p_{7}}{y} + p_{7} + \frac{p_{7} y}{p_{6}}}$$
/ 2 \
p1*p7*(p3 - y)*\y + p5*p6 + p6*y/ - p4*p6*x*y
----------------------------------------------
/ 2 \
p7*\y + p5*p6 + p6*y/
$$\frac{p_{1} p_{7} \left(p_{3} - y\right) \left(p_{5} p_{6} + p_{6} y + y^{2}\right) - p_{4} p_{6} x y}{p_{7} \left(p_{5} p_{6} + p_{6} y + y^{2}\right)}$$
(p1*p7*(p3 - y)*(y^2 + p5*p6 + p6*y) - p4*p6*x*y)/(p7*(y^2 + p5*p6 + p6*y))
Объединение рациональных выражений
[src]
/ 2 \
p1*p7*(p3 - y)*\y + p5*p6 + p6*y/ - p4*p6*x*y
----------------------------------------------
/ 2 \
p7*\y + p5*p6 + p6*y/
$$\frac{p_{1} p_{7} \left(p_{3} - y\right) \left(p_{5} p_{6} + p_{6} y + y^{2}\right) - p_{4} p_{6} x y}{p_{7} \left(p_{5} p_{6} + p_{6} y + y^{2}\right)}$$
(p1*p7*(p3 - y)*(y^2 + p5*p6 + p6*y) - p4*p6*x*y)/(p7*(y^2 + p5*p6 + p6*y))
Комбинаторика
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/ 3 2 2 \
-\p1*p7*y + p1*p6*p7*y + p4*p6*x*y - p1*p3*p7*y + p1*p5*p6*p7*y - p1*p3*p5*p6*p7 - p1*p3*p6*p7*y/
-----------------------------------------------------------------------------------------------------
/ 2 \
p7*\y + p5*p6 + p6*y/
$$- \frac{- p_{1} p_{3} p_{5} p_{6} p_{7} - p_{1} p_{3} p_{6} p_{7} y - p_{1} p_{3} p_{7} y^{2} + p_{1} p_{5} p_{6} p_{7} y + p_{1} p_{6} p_{7} y^{2} + p_{1} p_{7} y^{3} + p_{4} p_{6} x y}{p_{7} \left(p_{5} p_{6} + p_{6} y + y^{2}\right)}$$
-(p1*p7*y^3 + p1*p6*p7*y^2 + p4*p6*x*y - p1*p3*p7*y^2 + p1*p5*p6*p7*y - p1*p3*p5*p6*p7 - p1*p3*p6*p7*y)/(p7*(y^2 + p5*p6 + p6*y))
Общий знаменатель
[src]
p4*p6*x*y
p1*p3 - p1*y - --------------------------
2
p7*y + p5*p6*p7 + p6*p7*y
$$- \frac{p_{4} p_{6} x y}{p_{5} p_{6} p_{7} + p_{6} p_{7} y + p_{7} y^{2}} + p_{1} p_{3} - p_{1} y$$
p1*p3 - p1*y - p4*p6*x*y/(p7*y^2 + p5*p6*p7 + p6*p7*y)