Question

Which expressions are equivalent to (5 ⋅ x) ⋅ 3?

1) (5 ⋅ 3) ⋅ x
2) 5 ⋅ (x ⋅ 3)
3) 5 ⋅ (3 ⋅ x)
4) (3 ⋅ 5) ⋅ x

Answer 1

Expressions 2) and 3) are equivalent to (5 ⋅ x) ⋅ 3.

Step-by-step explanation:

The expression (5 ⋅ x) ⋅ 3 is equivalent to:

5 ⋅ (3 ⋅ x)

(3 ⋅ 5) ⋅ x = 15 ⋅ x

Therefore, expressions 2) and 3) are equivalent to (5 ⋅ x) ⋅ 3.