What is the result of combining the like terms 6x and 4x?

What is the result of combining the like terms 6x and 4x?

• A. 10x
• B. 2x
• C. 24x
• D. 0

Answer: (A)

When combining like terms, you look for terms that share the same variable raised to the same power. In this case, both terms are linear in terms of the variable \(x\). Specifically, the terms are \(6x\) and \(4x\). To combine these terms, you simply add their coefficients, which are the numbers in front of the variable \(x\). The coefficients here are 6 and 4. So, you perform the addition: \[ 6 + 4 = 10 \] Therefore, when you combine \(6x\) and \(4x\), you get: \[ 10x \] Thus, the result of combining the like terms \(6x\) and \(4x\) is indeed \(10x\). This principle can be applied in similar scenarios where you have multiple like terms, allowing you to simplify expressions efficiently by merging them into one term that represents their total.

When combining like terms, you look for terms that share the same variable raised to the same power. In this case, both terms are linear in terms of the variable (x). Specifically, the terms are (6x) and (4x).

To combine these terms, you simply add their coefficients, which are the numbers in front of the variable (x). The coefficients here are 6 and 4. So, you perform the addition:

[

6 + 4 = 10

]

Therefore, when you combine (6x) and (4x), you get:

[

10x

]

Thus, the result of combining the like terms (6x) and (4x) is indeed (10x). This principle can be applied in similar scenarios where you have multiple like terms, allowing you to simplify expressions efficiently by merging them into one term that represents their total.