Fraction decomposition
[src]
1 - 16/(-8 + y)^2 + 15/(-8 + y)
$$1 + \frac{15}{y - 8} - \frac{16}{\left(y - 8\right)^{2}}$$
16 15
1 - --------- + ------
2 -8 + y
(-8 + y)
General simplification
[src]
2
-72 + y - y
--------------
2
64 + y - 16*y
$$\frac{y^{2} - y - 72}{y^{2} - 16 y + 64}$$
(-72 + y^2 - y)/(64 + y^2 - 16*y)
/ 2\
\-64 + y /*(-9 + y)
-------------------------
/ 2 \
(-8 + y)*\64 + y - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))
(-9 + y)*(8 + y)
----------------
2
(-8 + y)
$$\frac{\left(y - 9\right) \left(y + 8\right)}{\left(y - 8\right)^{2}}$$
(-9 + y)*(8 + y)/(-8 + y)^2
-136 + 15*y
1 + --------------
2
64 + y - 16*y
$$\frac{15 y - 136}{y^{2} - 16 y + 64} + 1$$
1 + (-136 + 15*y)/(64 + y^2 - 16*y)
Combining rational expressions
[src]
/ 2\
\-64 + y /*(-9 + y)
---------------------------
(-8 + y)*(64 + y*(-16 + y))
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y \left(y - 16\right) + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y*(-16 + y)))
(-64.0 + y^2)*(-9.0 + y)/((-8.0 + y)*(64.0 + y^2 - 16.0*y))
(-64.0 + y^2)*(-9.0 + y)/((-8.0 + y)*(64.0 + y^2 - 16.0*y))
Assemble expression
[src]
/ 2\
\-64 + y /*(-9 + y)
-------------------------
/ 2 \
(-8 + y)*\64 + y - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))
Rational denominator
[src]
/ 2\
\-64 + y /*(-9 + y)
-------------------------
/ 2 \
(-8 + y)*\64 + y - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))
/ 2\
\-64 + y /*(-9 + y)
-------------------------
/ 2 \
(-8 + y)*\64 + y - 16*y/
$$\frac{\left(y - 9\right) \left(y^{2} - 64\right)}{\left(y - 8\right) \left(y^{2} - 16 y + 64\right)}$$
(-64 + y^2)*(-9 + y)/((-8 + y)*(64 + y^2 - 16*y))