# How do you simplify #(x/9 - 1/x) / (1+ 3/x) #?

##### 1 Answer

#### Answer:

#### Explanation:

For this particular problem, we'd have to take note of some algebraic properties such as

In this case, we follow this property to start simplifying:

We can simplify further by multiplying top and bottom (numerator and denominator) by the reciprocal of

We've now simplified our expression, although we're not done yet.

Note that we can still factor the top (numerator), that is,

In order to factor this expression, we proceed as follows:

Solving for

Since the solutions are