Amanufacturing company uses the expressions below to estimate revenue and expenses based on the production of n units.

the ratio of revenue to expenses is given by the rational expression below.

factor the numerator and denominator of the rational expression, and simplify if possible. show your work.

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?