Question

which expression are equivalent to (4.a). 2 drag and pick the ones that right A 4. (a. 2), B 2. (4. a), C 4.2. a.2, D 8a, E 4.2 + a .2

Answer 1

To determine which expressions are equivalent to \( (4.a) \cdot 2 \), let's simplify the original expression:

\[
(4.a) \cdot 2 = 8a
\]

Now, let's evaluate the options you provided:

A) \( 4 \cdot (a \cdot 2) \) = \( 4a \cdot 2 \) = \( 8a \) (This is equivalent)

B) \( 2 \cdot (4.a) \) = \( 2 \cdot 4a = 8a \) (This is equivalent)

C) \( 4.2.a.2 \) = \( 4 \cdot 2 \cdot a \cdot 2 = 16a \) (This is NOT equivalent)

D) \( 8a \) (This is equivalent)

E) \( 4 \cdot 2 + a \cdot 2 = 8 + 2a \) (This is NOT equivalent)

Thus, the expressions that are equivalent to \( (4.a) \cdot 2 \) are:

- **A) 4.(a.2)**
- **B) 2.(4.a)**
- **D) 8a**