Exercise algebra.manipulation.rational.simplify

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

Derivation

(x^3+10*x^2+24*x)/(x^2+7*x+6)

⇒ algebra.equations.quadratic.nice-factors

(x^3+10*x^2+24*x)/((x+1)*(x+6))

⇒ algebra.equations.polynomial.factor-varpower

x*(x^2+10*x+24)/((x+1)*(x+6))

⇒ algebra.equations.quadratic.nice-factors

x*(x+4)*(x+6)/((x+1)*(x+6))

⇒ algebra.equations.rational.cancel-div, clipboard=[condition == (x /= -6)]

x*(x+4)/(x+1)

⇒ algebra.equations.linear.distr-times

(x^2+4*x)/(x+1)