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Question 18 of 20:

Simplify [tex]-2xy + 3x - 2xy + 3x[/tex].

A. [tex]2xy[/tex]
B. [tex]4xy + 6x[/tex]
C. [tex]-4xy + 6x[/tex]
D. [tex]4xy - 6x[/tex]

Sagot :

GinnyAnsweridn
To simplify the given expression [tex]\(-2xy + 3x - 2xy + 3x\)[/tex], let's follow these steps:

1. Combine Like Terms:
- Identify all the terms that are similar. In this case, [tex]\(-2xy\)[/tex] and [tex]\(-2xy\)[/tex] are like terms. Similarly, [tex]\(3x\)[/tex] and [tex]\(3x\)[/tex] are like terms.

2. Sum the Coefficients of the Like Terms:
- For the [tex]\(xy\)[/tex] terms:
[tex]\[ -2xy + (-2xy) = -4xy \][/tex]

- For the [tex]\(x\)[/tex] terms:
[tex]\[ 3x + 3x = 6x \][/tex]

3. Combine the Results:
- So, the simplified form of the expression is:
[tex]\[ -4xy + 6x \][/tex]

Therefore, the simplified expression is [tex]\(-4xy + 6x\)[/tex].

Looking at the provided options:

A. [tex]\(2xy\)[/tex]

B. [tex]\(4xy + 6x\)[/tex]

C. [tex]\(-4xy + 6x\)[/tex]

D. [tex]\(4xy - 6x\)[/tex]

The correct answer is:

C. [tex]\(-4xy + 6x\)[/tex]
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