# High School Math : How to add and subtract polynomials in pre-algebra

## Example Questions

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### Example Question #1 : How To Add And Subtract Polynomials In Pre Algebra

If

and

,

what is ?

Explanation:

To solve we must first write out what is:

Now,we can simplify. However, notice that when subtracting these terms, we subtract all terms in the parentheses. Remember when we subtract a negative number, it is the same as adding the number. This is illustrated in the simplification below.

This simplifies to

Now we can combine like terms. Let's put those together and then simplify

### Example Question #1 : How To Add And Subtract Polynomials In Pre Algebra

Simplify the expression below.

Explanation:

When simplifying the addition or subtraction of polynomials, we want to combine like terms. First, when we have a negative sign outside our parentheses, we know that we need to distribute that negative; think of it as an imaginary  and use the distributive property).

Then, we combine our like terms. Be careful when subtracting.

Rearrange the expression.

Combine terms and simplify.

### Example Question #3 : How To Add And Subtract Polynomials In Pre Algebra

Simplify the expression.

Explanation:

Combine like terms.

### Example Question #4 : How To Add And Subtract Polynomials In Pre Algebra

What is the sum of  and ?

Explanation:

In order to solve the problem, simply add the equations.

Combine like terms.

Solve.

### Example Question #5 : How To Add And Subtract Polynomials In Pre Algebra

What is ?

Explanation:

When subtracting polynomials you only subtract the integers in front of like termed variables raised to the same power.

So in this case we take the numbers from in front of the variables and subtract them to get

After subtraction we add the variable  to get .

### Example Question #2 : How To Add And Subtract Polynomials In Pre Algebra

Simplify:

Explanation:

According to exponent laws, if the bases are the same for the two numbers being divided, you keep the base and subtract the exponents.

### Example Question #3 : How To Add And Subtract Polynomials In Pre Algebra

Simplify:

Explanation:

Because both terms have the same radical,  , you can combine terms.

equals

### Example Question #4 : How To Add And Subtract Polynomials In Pre Algebra

What is

Explanation:

When adding polynomials you only add the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and add

### Example Question #9 : How To Add And Subtract Polynomials In Pre Algebra

What is  simplified?

Explanation:

When subtracting polynomials you only subtract the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and subtract them

After subtraction we add the variable  to get .

### Example Question #1 : How To Add And Subtract Polynomials In Pre Algebra

What is  simplified?