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] |
(x*(x-3)+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.quadratic.common-factor |
Location | [0,1,1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x*(x-3)+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.quadratic.common-factor |
Location | [1,1,1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x*(x-3)+2))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [0,0,0,0] |
(x-1)*(x-2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [0,1,1] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x-1)*(x-2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [1,1,1] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x-1)*(x-2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0] |
(x^3-2*x^2-3*x^2+6*x+2*x-4)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0] |
(x^2-3*x+2)*(6*x-12)/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0,0] |
(x^3-2*x^2-3*x^2+8*x-4)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1] |
(x^2-3*x+2)*(x-2)*6/((x^2-2*x-x+2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x^3-3*x^2+2*x-2*x^2+6*x-4))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1,0] |
(x^2-3*x+2)*(x-2)*6/((x^2-3*x+2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x^2-2*x-x+2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x^2-x-2*x+2)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(3*x-3)/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x^2-2*x-x+2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x^2-x-2*x+2)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x^2-3*x+2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x^2-2*x-x+2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x^3-3*x^2+2*x-2*x^2+6*x-4))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x^2-3*x+2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [0,0,0,0,0] |
(x*(x-3)+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [0,1,1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x*(x-3)+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [1,1,1,0] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x*(x-3)+2))
ready: no
Rule | algebra.equations.rational.cancel-div |
Location | [0] |
6/(x-1)-(x-1)*(x-2)*(x-1)*3/((x-1)*(x-2)*(x^2-3*x+2))
ready: no
Rule | algebra.equations.rational.cancel-div |
Location | [1] |
(x^2-3*x+2)*(x-2)*6/((x-1)*(x-2)*(x^2-3*x+2))-(x-1)*3/(x^2-3*x+2)
ready: no
Rule | algebra.equations.rational.rational-plus |
Location | [] |
((x^2-3*x+2)*(x-2)*6-(x-1)*(x-2)*(x-1)*3)/((x-1)*(x-2)*(x^2-3*x+2))
ready: no