The easy way to perform this calculation (without using Pascal's Triangle) is to find , then square that trinomial.

So, our problem becomes

Start by distributing the first term on the left:

Now distribute the second term on the left:

Now distribute the third term on the left:

Now, combine the compatible terms:

Thus, our answer is .

We are asked to expand and simplify the expression: .

This question is going to require knowledge of exponent rules and FOIL methods.

The first step is to create an inverse reciprocal of a negative exponent.

Now, we can expand the expression by removing the exponent in the denominator.

Use the FOIL method to first multiply and .

You'll find it creates . Replace it back into the expression because we have to multiply the result by one more time.

Be careful with exponents and coefficients!

Combine like terms to find the simplified answer.

In the problem above, we are given two trinomials that we need to multiply together. To solve this problem, we need to use the distributive property to multiply each term in the first set of parentheses to each term in the second set of parentheses. We will perform 9 multiplication steps total.

Let's start with the first term in the first set of parentheses, . We will multiply this term by all three terms in the second set of parentheses, as follows:

**remember, when you multiply together two of the same variable, you add together the value of their exponents**

and

Now, we will go through the same process for the second term in the first set of parentheses, :

and

and

Finally, we'll go through the same process for the last term of the first set of parentheses, :

and

and

Now, we add together all of the values we got in our mulitplication steps:

Finally, we combine like terms to get our simplified answer:

Multiply each term of the first trinomial throughout the second trinomial and add all the terms together. 

Combine like terms.  The  and  terms will cancel upon addition.

The answer is:  

In order to solve, we will need to multiply each term of the first trinomial with all the terms of the second trinomial.  Sum all the terms together.

Add all of the terms and combine like terms.

The answer is:  

Multiply each term of the first trinomial with the terms of the second trinomial.

Combine like-terms.

The answer is:

Since we are only adding and subtracting (there is no multiplication or division), we can remove the parentheses.

Regroup the expression so that like variables are together. Remember to carry positive and negative signs.

For all fractional terms, find the least common multiple in order to add and subtract the fractions.

Combine like terms and simplify.

First distribute the :

Then distribute the :

Finally combine like terms:

With this problem, you need to take the trinomials out of parentheses and combine like terms. Since the two trinomials are being added together, you can remove the parentheses without needing to change any signs:

The next step is to combine like terms, based on the variables. You have two terms with , two terms with , and two terms with no variable. Make sure to pay attention to plus and minus signs with each term when combining like terms:

With this problem, you need to distribute the two fractions across each of the trinomials. To do this, you multiply each term inside the parentheses by the fraction outside of it:

The next step is to combine like terms, based on the variables. You have two terms with , two terms with , and two terms with no variable. Make sure to pay attention to plus and minus signs with each term when combining like terms. Since you have a positive and negative , those two terms will cancel out: