High School Math : How to add and subtract polynomials in pre-algebra
Study concepts, example questions & explanations for High School Math
All High School Math Resources
Example Questions
Example Question #1 : How To Add And Subtract Polynomials In Pre Algebra
If 
and
what is 
To solve we must first write out what 
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 #2 : How To Add And Subtract Polynomials In Pre Algebra
Simplify the expression below.
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 
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.
Combine like terms.
Add the terms together.
Example Question #4 : How To Add And Subtract Polynomials In Pre Algebra
What is the sum of 
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 
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 
The answer is 
Example Question #1 : How To Add And Subtract Polynomials In Pre Algebra
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.
Example Question #2 : How To Add And Subtract Polynomials In Pre Algebra
Simplify:
Because both terms have the same radical, 
Example Question #3 : How To Add And Subtract Polynomials In Pre Algebra
What 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 
Example Question #9 : How To Add And Subtract Polynomials In Pre Algebra
What is 
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 
The answer is 
Example Question #1 : How To Add And Subtract Polynomials In Pre Algebra
What 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 
The answer is 
Certified Tutor
Certified Tutor
All High School Math Resources
