This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.

Add like terms to solve.

and have no like terms and cannot be combined with anything.

5 and -5 can be combined however:

This leaves us with .

Simplify the following expression:

Let's begin by putting each polynomial in standard form (decreasing exponent order)

Good, see how the highest exponents are on the left, and the lowest are on the right? That's standard form.

Next, let's remove the parentheses and put terms with the same exponent next to eachother.

Okay, finally, combine like terms by adding the coefficients (the numbers out front).

Notice that the squared terms cancel out, and the fifth term stays the same.

This is not a FOIL problem, as we are adding rather than multiplying the terms in parenteses.

Add like terms to solve.

Combining these terms into an expression gives us our answer.

Place like terms (with the same variable and exponent) together.

Add the like terms.

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Add , , and .

Group like terms (with the same variable and exponent). Line up the polynomials in columns to make grouping the terms from several polynomials easier. Then add down.

When adding the two polynomial functions together, it is important to only add the terms with the same base ( can only add to other terms with the same degree, , and when doing so, we add the coefficients together).

Following this rule, we get

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):