Answer
$P = \Big(\dfrac{4x^2+22x}{x^2+11x+30}\Big)$
Work Step by Step
$P = 2\Big(\dfrac{x}{x+5}\Big)+2\Big(\dfrac{x}{x+6}\Big)$
$P = \Big(\dfrac{2x}{x+5}\Big)+\Big(\dfrac{2x}{x+6}\Big)$
$P = \Big(\dfrac{(2x)(x+5)+(2x)(x+6)}{(x+5)(x+6)}\Big)$
$P = \Big(\dfrac{2x^2+10x+2x^2+12x}{x^2+6x+5x+30}\Big)$
$P = \Big(\dfrac{4x^2+22x}{x^2+11x+30}\Big)$
