Exercise algebra.manipulation.rational.simplify
Description
simplify a rational expression (with a variable in a divisor)
All applications
Rule | algebra.equations.quadratic.common-factor |
Location | [0,0,0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x*(x-5)+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.quadratic.common-factor |
Location | [0,1,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x*(x-5)+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.quadratic.common-factor |
Location | [1,1,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x*(x-5)+4))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [0,0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x-1)*(x-4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [0,1,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x-1)*(x-4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [1,1,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x-1)*(x-4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^3-4*x^2-5*x^2+20*x+4*x-16)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x^2+3*x-4*x-12)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^3-4*x^2-5*x^2+24*x-16)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x^2-4*x-x+4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x^3-5*x^2+4*x-4*x^2+20*x-16))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x^2-5*x+4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x^2-4*x-x+4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x^2-x-4*x+4)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x^2+2*x-x-2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x^2-4*x-x+4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x^2-x-4*x+4)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x^2-5*x+4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x^2-4*x-x+4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x^3-5*x^2+4*x-4*x^2+20*x-16))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x^2-5*x+4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [0,0,0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x*(x-5)+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [0,1,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x*(x-5)+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [1,1,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x*(x-5)+4))
ready: no
Rule | algebra.equations.rational.cancel-div |
Location | [0] |
![](http://ideas.cs.uu.nl/images/external.png)
(x+3)/(x-1)+(x-1)*(x-4)*(x-1)*(x+2)/((x-1)*(x-4)*(x^2-5*x+4))
ready: no
Rule | algebra.equations.rational.cancel-div |
Location | [1] |
![](http://ideas.cs.uu.nl/images/external.png)
(x^2-5*x+4)*(x-4)*(x+3)/((x-1)*(x-4)*(x^2-5*x+4))+(x-1)*(x+2)/(x^2-5*x+4)
ready: no
Rule | algebra.equations.rational.rational-plus |
Location | [] |
![](http://ideas.cs.uu.nl/images/external.png)
((x^2-5*x+4)*(x-4)*(x+3)+(x-1)*(x-4)*(x-1)*(x+2))/((x-1)*(x-4)*(x^2-5*x+4))
ready: no