Combine like terms means to add the coefficients (numbers) in front of like variables (letters).
Use the sketch area if needed.
Combine the like terms and submit your answer.
*Start with the `x^{2}`terms first, then combine your x's, and your constant term last!
To combine the x² terms, we look for terms with the same base and exponent. However, since no specific terms have been given, we cannot combine any x² terms at this time.
To combine like terms, we start with the terms that have the same variables and the same exponents.
Let's say we have the following terms:
3x^2 + 5x^2 - 2x^2
To combine these terms, we add the coefficients in front of the like variables:
3x^2 + 5x^2 - 2x^2 = (3 + 5 - 2)x^2
Simplifying further,
(3 + 5 - 2)x^2 = 6x^2
Now, let's move on to combining the x terms.
Suppose we have the following terms:
2x - 3x + 4x
To combine these terms, we add the coefficients in front of the like variables:
2x - 3x + 4x = (2 - 3 + 4)x
Simplifying further,
(2 - 3 + 4)x = 3x
Finally, let's combine the constant terms.
Consider the following terms:
7 - 9 + 2
To combine these terms, we add the coefficients:
7 - 9 + 2 = 0
Combining all the terms together, we have:
6x^2 + 3x + 0
The final answer is 6x^2 + 3x.
To combine like terms, we need to add the coefficients (numbers) in front of like variables (letters) together.
Let's consider an example expression: 3x^2 + 2x^2 + 5x - 7x + 10 - 3.
First, we will combine the x^2 terms. In this case, we have two x^2 terms: 3x^2 and 2x^2. To combine them, we add the coefficients in front of the x^2 terms: 3 + 2 = 5.
So far, our expression becomes 5x^2 + 5x - 7x + 10 - 3.
Next, we combine the x terms. We have two x terms: 5x and (-7x). To combine them, we add the coefficients in front of the x terms: 5 + (-7) = -2.
Now, our expression becomes 5x^2 - 2x + 10 - 3.
Finally, we combine the constant terms. We have two constant terms: 10 and (-3). To combine them, we add the coefficients: 10 + (-3) = 7.
Therefore, our final simplified expression after combining like terms is: 5x^2 - 2x + 7.