First find the lowest common denominator. In this case, it will be x(x+2).

Multiply each fraction to get the common denominator then solve:

To be able add or subtract the numerator, the denominators must be the same.

To get the same denominator, multiply both uncommon denominators together.

Convert both fractions to the like denominator.

For the numerator of the first term, expand the binomials.

Evaluate the numerator of the second term.

Rewrite the fractions.

To combine the numerators as one fraction, enclose the numerator of the second term in parentheses.

Simplify the numerator by distributing the negative sign and combine like-terms.

There are no similar common factors that will help reduce this expression any further.

The answer is:  

In order to solve this rational expression, denominators must be common.

Multiply both denominators together.

Convert the fractions with the same base denominator.  Multiply the numerator with what was multiplied on the denominator to achieve the new denominator.

Combine the two fractions into a single fraction.

Simplify the numerator on the right side.

The answer is:  

Rewrite the fractions with the least common denominator.  The least common denominator is .  We will need both fractions to have this denominator in order to add or subtract the numerator.

Distribute the numerator and denominator of the first term.

Combine the numerators as one fraction.  Be sure to enclose the second term in parentheses.

Simplify the numerator.

There are no common factors.

The answer is:  

In order to add the numerators, we will need the least common denominator.

Multiply the denominators together.

Convert both fractions by multiplying both the top and bottom by what was multiplied to get the denominator.  Rewrite the fractions and combine as one single fraction.

Re-order the terms.

Pull out a common factor of negative one on the numerator.

The answer is:  

In order to subtract the fractions, multiply both denominators together in order to obtain the least common denominator.

Simplify the numerators.

Combine the numerators.

The answer is:  

To simplify this expression, we will need to multiply both denominators together to find the least common denominator.

Convert both fractions to the common denominator.

Combine the fractions.

The answer is:  

To add these rational expressions, first identify the common denominator.

In this case, it's the product of the two denominators:

.

Then, multiply the numerators to offset them for their new denominator:

.

Then combine the numerators to get

.

Thus, your final answer is:

To add these two expressions, first identify the common denominator.

In this case, it's the product of the two, which is

.

Then, multiply the numerators to offset them for the new denominator:

.

Now, combine the numerators to get your answer of:

First, identify the common denominator. In this case, it's .

Offset the first two numerators to make up for the new denominator:

.

Now, combine the numerators to get:

.

Thus, your final answer is: