Exercise algebra.manipulation.rational.simplify

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

Derivation

(x+3)*(x+2)*(x+2)*4/((x^2+5*x+6)*(x+3)*(x+2))-(x^2+5*x+6)*(x+3)*6/((x^2+5*x+6)*(x+3)*(x+2))

⇒ algebra.equations.rational.rational-plus

((x+3)*(x+2)*(x+2)*4-(x^2+5*x+6)*(x+3)*6)/((x^2+5*x+6)*(x+3)*(x+2))

⇒ algebra.equations.quadratic.nice-factors

((x+3)*(x+2)*(x+2)*4-(x^2+5*x+6)*(x+3)*6)/((x+2)*(x+3)*(x+3)*(x+2))

⇒ algebra.equations.linear.distr-times

(4*x^3+28*x^2+64*x+48-6*x^3-48*x^2-126*x-108)/((x+2)*(x+3)*(x+3)*(x+2))

⇒ algebra.equations.linear.merge

(-2*x^3-20*x^2-62*x-60)/((x+2)*(x+3)*(x+3)*(x+2))