Question

Which expression is NOT equivalent to 3(x + 3)?

A 3x + 93 x + 9
B (3 + x) • 3(3 + x ) • 3
C 3(x + 9)3( x + 9)
D 3 • x + 3 • 33 • x + 3 • 3

Answer 1

To determine which expression is NOT equivalent to \(3(x + 3)\), we first simplify \(3(x + 3)\):

\[
3(x + 3) = 3x + 9
\]

Now let's evaluate each option:

**Option A: \(3x + 9\)**

This is exactly equal to \(3(x + 3)\).

**Option B: \((3 + x) \cdot 3(3 + x)\)**

Simplifying this:

\[
(3 + x) \cdot 3(3 + x) = 3(3 + x)(3 + x) = 3(3 + x)^2
\]
This is not equal to \(3(x + 3)\).

**Option C: \(3(x + 9)\)**

This can be simplified to:

\[
3(x + 9) = 3x + 27
\]
This is also not equal to \(3(x + 3)\).

**Option D: \(3 \cdot x + 3 \cdot 33 \cdot x + 3 \cdot 3\)**

First, let's analyze it for the correct multiplication:

\[
3 \cdot x + 3 \cdot 33 \cdot x + 3 \cdot 3 = 3x + 99x + 9 = 102x + 9
\]

This is also not equal to \(3(x + 3)\).

Now, since we see that options B, C, and D are not equivalent to \(3(x + 3)\)—let's clarify.

Option B simplifies incorrectly, Option C evaluates to something entirely different, and Option D expands incorrectly as well. Yet we need just one.

The final conclusion is:

**Answer:** **A** \(3x + 9\) is the correct equivalent expression.
**B 3(3 + x)^2, C 3(x + 9), D 102x + 9 are NOT equal.**

Thus, the final examined options clearly suggest:

**B, C, D are candidates not equivalent.** The most clean-cut misaligned option that diverges from original simplifications is **B**.
To summarize: There are several lies among and B leads among misalignments distinctly.