Exercise algebra.manipulation.rational.simplify

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

Derivation

(a^3+7*a^2+12*a)/(a^2+6*a+9)

⇒ algebra.equations.quadratic.nice-factors

(a^3+7*a^2+12*a)/(a+3)^2

⇒ algebra.equations.polynomial.factor-varpower

a*(a^2+7*a+12)/(a+3)^2

⇒ algebra.equations.quadratic.nice-factors

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

⇒ algebra.equations.rational.cancel-div, clipboard=[condition == (a /= -3)]

a*(a+4)/(a+3)

⇒ algebra.equations.linear.distr-times

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