Question

How do you simplify each rational expression and state any restrictions on the variable `(x^2+x)/(x^2+2x)`?

Answer 1

You basically reverse the distributive property by factoring `x^2+x` and `x^2+2`. Then cancel `x` from the numerator and denominator.

`(x^2+x)/(x^2+2x)=(x*(x+1))/(x*(x+2))=(cancelx*(x+1))/(cancelx*(x+2))=(x+1)/(x+2)`