Polynomials - Math

When dividing polynomials you subtract the power of the numerator by the power of the denominator.

The answer is the power of the simplified expression

In this example our answer is .

You can simplify negative exponents in order to work only with positive numbers. Simply make the negative number positive and divide 1 by the entire expression.

When you multiply two exponential expressions with the same base, add the exponents to simplify the expression.

When you are required to multiply exponential expressions with different bases but the same exponent, you can simplify the expression by adding parentheses and only using the exponent one time.

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 .

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 and add

After addition we add the variable to get

We have the answer .

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 variables raised to the same power, add the values in front of the like-termed variables. In this case, we add and to get .