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

You basically reverse the distributive property by factoring ${x}^{2} + x$ and ${x}^{2} + 2$. Then cancel $x$ from the numerator and denominator.
$\frac{{x}^{2} + x}{{x}^{2} + 2 x} = \frac{x \cdot \left(x + 1\right)}{x \cdot \left(x + 2\right)} = \frac{\cancel{x} \cdot \left(x + 1\right)}{\cancel{x} \cdot \left(x + 2\right)} = \frac{x + 1}{x + 2}$