Exercise algebra.manipulation.rational.simplify

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

Derivation

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

⇒ algebra.equations.quadratic.nice-factors

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

⇒ algebra.equations.polynomial.factor-varpower

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

⇒ algebra.equations.quadratic.nice-factors

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

⇒ algebra.equations.rational.cancel-div, clipboard=[condition == (x /= -2)]

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

⇒ algebra.equations.linear.distr-times

(x^2+x)/(x+2)