General simplification
[src]
1 y
-9 - - + --------
y 2
(3 + y)
$$\frac{y}{\left(y + 3\right)^{2}} - 9 - \frac{1}{y}$$
Fraction decomposition
[src]
-9 + 1/(3 + y) - 1/y - 3/(3 + y)^2
$$-9 + \frac{1}{y + 3} - \frac{3}{\left(y + 3\right)^{2}} - \frac{1}{y}$$
1 1 3
-9 + ----- - - - --------
3 + y y 2
(3 + y)
Combining rational expressions
[src]
2 2 2
y - (3 + y) - 9*y*(3 + y)
----------------------------
2
y*(3 + y)
$$\frac{y^{2} - 9 y \left(y + 3\right)^{2} - \left(y + 3\right)^{2}}{y \left(y + 3\right)^{2}}$$
(y^2 - (3 + y)^2 - 9*y*(3 + y)^2)/(y*(3 + y)^2)
1 y
-9 - - + --------
y 2
(3 + y)
$$\frac{y}{\left(y + 3\right)^{2}} - 9 - \frac{1}{y}$$
/ 3 2 \
-3*\3 + 3*y + 18*y + 29*y/
----------------------------
2
y*(3 + y)
$$- \frac{3 \left(3 y^{3} + 18 y^{2} + 29 y + 3\right)}{y \left(y + 3\right)^{2}}$$
-3*(3 + 3*y^3 + 18*y^2 + 29*y)/(y*(3 + y)^2)
-9.0 - 1/y + 0.111111111111111*y/(1 + 0.333333333333333*y)^2
-9.0 - 1/y + 0.111111111111111*y/(1 + 0.333333333333333*y)^2
9 + 6*y
-9 - ---------------
3 2
y + 6*y + 9*y
$$- \frac{6 y + 9}{y^{3} + 6 y^{2} + 9 y} - 9$$
-9 - (9 + 6*y)/(y^3 + 6*y^2 + 9*y)
Assemble expression
[src]
1 y
-9 - - + --------
y 2
(3 + y)
$$\frac{y}{\left(y + 3\right)^{2}} - 9 - \frac{1}{y}$$
Rational denominator
[src]
3 2 2 2
y - y*(3 + y) - 9*y *(3 + y)
-------------------------------
2 2
y *(3 + y)
$$\frac{y^{3} - 9 y^{2} \left(y + 3\right)^{2} - y \left(y + 3\right)^{2}}{y^{2} \left(y + 3\right)^{2}}$$
(y^3 - y*(3 + y)^2 - 9*y^2*(3 + y)^2)/(y^2*(3 + y)^2)
1 y
-9 - - + --------
y 2
(3 + y)
$$\frac{y}{\left(y + 3\right)^{2}} - 9 - \frac{1}{y}$$