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-2)-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.quadratic.common-factor |
Location | [0,1,1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x*(x-2)-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.quadratic.common-factor |
Location | [1,1,1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x*(x-2)-3))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [0,0,0,0] |
(x+1)*(x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [0,1,1] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x+1)*(x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.quadratic.nice-factors |
Location | [1,1,1] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x+1)*(x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0] |
(x^3+x^2-2*x^2-2*x-3*x-3)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0] |
(x^2-2*x-3)*(7*x+7)/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,0,0] |
(x^3+x^2-2*x^2-5*x-3)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1] |
(x^2-2*x-3)*(x+1)*7/((x^2+x-3*x-3)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x^3-2*x^2-3*x+x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [0,1,0] |
(x^2-2*x-3)*(x+1)*7/((x^2-2*x-3)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x^2+x-3*x-3)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x^2-3*x+x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(2*x-6)/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x^2+x-3*x-3)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x^2-3*x+x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,0,0,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x^2-2*x-3)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x^2+x-3*x-3)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x^3-2*x^2-3*x+x^2-2*x-3))
ready: no
Rule | algebra.equations.linear.distr-times |
Location | [1,1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x^2-2*x-3)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [0,0,0,0,0] |
(x*(x-2)-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [0,1,1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x*(x-2)-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.polynomial.factor-varpower |
Location | [1,1,1,0] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x*(x-2)-3))
ready: no
Rule | algebra.equations.rational.cancel-div |
Location | [0] |
7/(x-3)-(x-3)*(x+1)*(x-3)*2/((x-3)*(x+1)*(x^2-2*x-3))
ready: no
Rule | algebra.equations.rational.cancel-div |
Location | [1] |
(x^2-2*x-3)*(x+1)*7/((x-3)*(x+1)*(x^2-2*x-3))-(x-3)*2/(x^2-2*x-3)
ready: no
Rule | algebra.equations.rational.rational-plus |
Location | [] |
((x^2-2*x-3)*(x+1)*7-(x-3)*(x+1)*(x-3)*2)/((x-3)*(x+1)*(x^2-2*x-3))
ready: no