Exercise algebra.manipulation.rational.simplify

Description
simplify a rational expression (with a variable in a divisor)

Derivation

7/(x-3)-2/(x+1)

⇒ algebra.equations.rational.rational-scale

(x+1)*7/((x-3)*(x+1))-(x-3)*2/((x-3)*(x+1))

⇒ algebra.equations.rational.rational-plus

((x+1)*7-(x-3)*2)/((x-3)*(x+1))

⇒ algebra.equations.linear.distr-times

(7*x+7-2*x+6)/((x-3)*(x+1))

⇒ algebra.equations.linear.merge

(5*x+13)/((x-3)*(x+1))