# Algebra 1 : How to subtract trinomials

## Example Questions

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### Example Question #3 : Solving Equations

Solve this system of equations for :

Explanation:

Multiply the top equation by 3 on both sides, then add the second equation to eliminate the  terms:

### Example Question #7 : Polynomials

Evaluate the following:

Explanation:

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 , two terms with , and two terms with no variable:

### Example Question #7 : Simplifying And Expanding Quadratics

Subtract:

Explanation:

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 #1 : How To Subtract Trinomials

Explanation:

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  into our new binomial and combine all compatible terms:

### Example Question #2 : How To Subtract Trinomials

Simplify the following expression:

Explanation:

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:

Now, let's look at a potentially faster way.

Look at our initial problem.

Notice how  can be found in both terms? Let's factor that out:

Simpify the second term:

Now, perform a much easier multiplication:

So, our answer is , and we had a much easier time getting there!

### Example Question #3 : How To Subtract Trinomials

Simplify the following:

Explanation:

Now we add/subtract all like terms, yielding:

### Example Question #4 : How To Subtract Trinomials

Subtract  with .

Explanation:

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.

### Example Question #5 : How To Subtract Trinomials

Simplify:

Explanation:

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 #6 : How To Subtract Trinomials

Explanation:

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.)

Simplify: