Question

Identify the pair of equivalent expressions. (1 point)
-3 (x + 2) and - 6х - 3
3x + 2x and x^2 (3 + 2)
• 3x + 2 and 3 (x + 2)
3 (x + 2) and 3x + 6

Answer 1

To determine which pair of expressions are equivalent, let's simplify each pair one by one.

1. **-3(x + 2) and -6x - 3**:
\[
-3(x + 2) = -3x - 6
\]
Comparing this with \(-6x - 3\), they are not equivalent.

2. **3x + 2x and x^2(3 + 2)**:
\[
3x + 2x = 5x
\]
\[
x^2(3 + 2) = x^2 \cdot 5 = 5x^2
\]
Comparing \(5x\) and \(5x^2\), they are not equivalent.

3. **3x + 2 and 3(x + 2)**:
\[
3(x + 2) = 3x + 6
\]
Comparing \(3x + 2\) and \(3x + 6\), they are not equivalent.

4. **3(x + 2) and 3x + 6**:
\[
3(x + 2) = 3x + 6
\]
These two expressions are equivalent.

Therefore, the pair of equivalent expressions is **3(x + 2) and 3x + 6**.