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Least common denominator y/(y-3)+3/(3-y)

An expression to simplify:

The solution

You have entered [src]
  y       3  
----- + -----
y - 3   3 - y
$$\frac{y}{y - 3} + \frac{3}{3 - y}$$
y/(y - 3) + 3/(3 - y)
General simplification [src]
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Fraction decomposition [src]
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Common denominator [src]
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Combining rational expressions [src]
-9 + 3*y + y*(3 - y)
--------------------
  (-3 + y)*(3 - y)  
$$\frac{y \left(3 - y\right) + 3 y - 9}{\left(3 - y\right) \left(y - 3\right)}$$
(-9 + 3*y + y*(3 - y))/((-3 + y)*(3 - y))
Numerical answer [src]
3.0/(3.0 - y) + y/(-3.0 + y)
3.0/(3.0 - y) + y/(-3.0 + y)
Rational denominator [src]
-9 + 3*y + y*(3 - y)
--------------------
  (-3 + y)*(3 - y)  
$$\frac{y \left(3 - y\right) + 3 y - 9}{\left(3 - y\right) \left(y - 3\right)}$$
(-9 + 3*y + y*(3 - y))/((-3 + y)*(3 - y))
Combinatorics [src]
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