Pre-Algebra - High School Math

We are subtracting here, so it is important to remember that subtracting is really just adding the same number with opposite sign. Thus we can think of the problem as the following:

, which we know is equal to .

Recall that subtracting integers is equivalent to adding the inverse. The inverse of a negative number is the positive number with the same magnitude.

Thus, our problem is equivalent to .

Recall that subtracting is equivalent to adding the inverse:

The inverse of a negative number is a positive number:

Recall the placement of numbers on the number line. is spaces to the left of , and then we add , resulting in movement to the right.

When we add these spaces we end up going spaces back to and then additional spaces to end at .

Recall that subtracting a negative number is equivalent to adding the opposite. Thus,

Recall that subtracting negative numbers is equivalent to adding the opposite. Then, we have that:

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

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.

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

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

equals

Combine like terms.

Add the terms together.

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

Combine like terms.

Solve.

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 .

The answer is .

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

After addition we add the variable to get .

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 .

The answer is .

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 with like-termed variables and combine them .

After subtraction we add the term to get .

The answer is .

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

So in this case we take the numbers from, , and add

After addition we provide the variable to get

We have the answer, .

When adding polynomials, add the integers attached to the same integers raised to the same power.

So in this case we take the numbers and add .

After addition we plug the variable back in to get .

Therefore the answer is .

When simplifying polynomials, only combine like terms raised to the same power.

In this case we can subtract the constants:

The answer is then .