# Which Pair Shows Equivalent Expressions?

## Option (b) is the correct answer as the expression 2\left(\frac{2}{5}x + 2\right) is equivalent to \frac{4}{5}x + 4 .

Let's break down each expression to determine their equivalence:

## a. 2\left(\frac{2}{5}x + 2\right) = 2\left(\frac{2}{5}x\right) + 1

Expanding the left side:

The right side does not match, so option (a) is not equivalent.

## b. 2\left(\frac{2}{5}x + 2\right) = \frac{4}{5}x + 4

This matches the expanded left side of option (b), so option (b) is equivalent.

## c. 2\left(\frac{2}{5}x + 4\right) = \frac{4}{5}x + 8

This does not match the expanded left side of option (c), so option (c) is not equivalent.

## d. 2\left(\frac{2}{5}x + 4\right) = 2\left(\frac{2}{5}x\right) + 8

Expanding the left side:

This matches the expanded left side of option (d), so option (d) is equivalent.

In summary, the equivalent pair is option (b).

The question probable maybe:

Which pair shows equivalent expressions?

a.

b.

c.

d.