Using both the Commutative and Associative Properties, determine whether the following two expressions are equivalent: Expression #1: (3b+1)+10b+9(3𝑏+1)+10𝑏+9Expression #2: 13b+913𝑏+9 (1 point)ResponsesThe expressions are equivalent. The expressions are equivalent. The expressions are NOT equivalent.The expressions are NOT equivalent.

To determine whether the two expressions are equivalent, let's simplify Expression #1 and see if it matches Expression #2.

**Expression #1:**
\[
(3b + 1) + 10b + 9(3b + 1) + 10b + 9
\]

We can start by distributing \(9\) into \((3b + 1)\):
\[
= (3b + 1) + 10b + (27b + 9) + 10b + 9
\]

Now, combine like terms:
1. Combine the \(b\) terms:
- \(3b + 10b + 27b + 10b\)
- This equals \(3b + 10b + 27b + 10b = 50b\)

2. Combine the constant terms:
- \(1 + 9 + 9\)
- This equals \(1 + 9 + 9 = 19\)

Putting it all together, we have:
\[
Expression #1 = 50b + 19
\]

**Expression #2:**
\[
13b + 9
\]

Now, we need to compare the simplified Expression #1 with Expression #2:
- Expression #1: \(50b + 19\)
- Expression #2: \(13b + 9\)

Clearly, \(50b + 19\) is not equal to \(13b + 9\).

Thus, the two expressions are **not equivalent**.

The final response is:
**The expressions are NOT equivalent.**