Write an equivalent expression to

(b ⋅ c) ⋅ d using the Associative Property of Multiplication.

2 answers

The Associative Property of Multiplication states that when multiplying three or more numbers, the way in which they are grouped does not affect the product.

Using this property, we can rewrite the expression \((b \cdot c) \cdot d\) by changing the grouping.

An equivalent expression can be written as:

\[ b \cdot (c \cdot d) \]

Both \((b \cdot c) \cdot d\) and \(b \cdot (c \cdot d)\) will yield the same result when evaluated, demonstrating the Associative Property of Multiplication.

Which expression is equivalent to - 4x - 6
α. -2(2x + 3)
b. 3(- x + 2)
c. 8x - 6 - 4x
d. -4x + 3(-3x - 2)