Algebra 1 : How to subtract trinomials
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Example Questions
Example Question #1 : Solving Equations
Solve this system of equations for 
Multiply the top equation by 3 on both sides, then add the second equation to eliminate the 
Example Question #1 : Simplifying Polynomials
Evaluate the following:
To subtract these two trinomials, you first need to flip the sign on every term in the second trinomial, since it is being subtrated:
Next you can combine like terms. You have two terms with 
Example Question #1 : How To Subtract Trinomials
Subtract:
When subtracting trinomials, first distribute the negative sign to the expression being subtracted, and then remove the parentheses:
Next, identify and group the like terms in order to combine them: 
Example Question #2 : How To Subtract Trinomials
Simpify into quadratic form:
First, FOIL the binomial combinations:
FOIL stands for the multiplication between the first terms, outer terms, inner terms, and then the last terms.
Next, distribute 
So, our answer is 
Example Question #3 : How To Subtract Trinomials
Simplify the following expression:
Let's solve this problem the long way, to see how it's done. Then we can look at a shortcut.
First, FOIL the binomial combinations:
FOIL stands for the multiplication between the first terms, outer terms, inner terms, and then the last terms.
Lastly, add the compatible terms in our trinomials:
So, our answer is 
Now, let's look at a potentially faster way.
Look at our initial problem.
Notice how 
Simpify the second term:
Now, perform a much easier multiplication:
So, our answer is 
Example Question #2 : How To Subtract Trinomials
Simplify the following:
Now we add/subtract all like terms, yielding:
Example Question #4 : How To Subtract Trinomials
Subtract 
Group both trinomials with a parenthesis and set up the expression.
Simplify by removing the parentheses, distribute the negative sign, and rewrite the expression.
Combine like-terms.
The answer is:
Example Question #3 : How To Subtract Trinomials
Simplify:
To subtract polynomials, simply combine like terms. But be extremely careful to distribute the negative to ALL terms in the second polynomial! (Consider subtracting vertically to help.)
Example Question #4 : How To Subtract Trinomials
To subtract polynomials, simply combine like terms. But be extremely careful to distribute the negative to ALL terms in the second polynomial! (Consider subtracting vertically to help.)
Example Question #2 : How To Subtract Trinomials
Simplify:
To subtract polynomials, simply combine like terms. But be extremely careful to distribute the negative to ALL terms in the second polynomial! (Consider subtracting vertically to help.)
Here, notice that the terms are not in the same order in both polynomials.
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