## Precalculus (6th Edition)

$\color{blue}{\dfrac{5x}{y}}$
Factor the binomials, then cancel common factors to obtain: $\require{cancel} =\dfrac{x(x+1)}{5} \cdot \dfrac{5(5)}{y(x+1)} \\=\dfrac{x\cancel{(x+1)}}{\cancel{5}} \cdot \dfrac{5\cancel{(5)}}{y\cancel{(x+1)}} \\=\dfrac{x}{1} \cdot \dfrac{5}{y} \\=\color{blue}{\dfrac{5x}{y}}$