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Chapter 6: Problem 78

Explain how to add like terms. Give an example.

Short Answer

Expert verified
Like terms refer to terms with the same variable and exponent. They can be combined by simply adding (or subtracting) their coefficients. For example, 3x + 7x = 10x.

Step by step solution

01

Understand Like Terms

First, identify 'like terms'. Like terms are terms whose variables (and their exponents such as the 2 in \(x^2\)) are the same. In other words, they are the same variables raised to the same power. For example, 2x and 5x are like terms because both contain the variable x.
02

Combine Like Terms

Next, combine the like terms by adding or subtracting the numerical coefficients while the variable part remains unchanged. For instance, adding 2x and 5x together would result in 7x.
03

Example of Adding Like Terms

Let's go through an example. Consider the expression 3x + 7x. These are like terms because they both contain the variable x. Add the coefficients together: 3 + 7 = 10. Therefore, when combined, 3x + 7x simplifies to 10x.

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