Question

How do you simplify `\frac { x + 5} { x ^ { 2} + 19x + 70}`?

Answer 1

See a solution process below:

Explanation:

First, factor the denominator of the fraction as:

`(x + 5)/((x + 14)(x + 5))`

Now, we can cancel common terms in the numerator and denominator:

`color(red)(cancel(color(black)(x + 5)))/((x + 14)color(red)(cancel(color(black)((x + 5))))) => 1/(x + 14)`