Exercise algebra.manipulation.rational.simplify

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

Derivation

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

⇒ algebra.equations.rational.rational-scale

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

⇒ algebra.equations.rational.rational-plus

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

⇒ algebra.equations.linear.distr-times

(x^2-2*x-3+x^2+4*x+4)/((x+2)*(x-3))

⇒ algebra.equations.linear.merge

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