Use the Associative Property to determine which expressions are equivalent. (1 point)

Question

0 - 3. (4x • - 2) • - 6y = 18 - 8x
0 -3 • (4x : - 2) • - 6у = (-3 • 4х) • -2 - 6у
0 -3 • (4х • - 2) • - 6y = - 7ху
0 -3. (4х • -2) • - 6у = (-3•4x) (-2 • -6y)

Pick one answer

Answer 1

To determine which expressions are equivalent using the Associative Property, we need to analyze the given expressions.

The Associative Property states that the way in which numbers are grouped in an expression does not change their product or sum. This means that for any numbers \( a, b, c \):

• \( (a * b) * c = a * (b * c) \)
• \( (a + b) + c = a + (b + c) \)

Now, let's analyze the expressions provided:

1. \( 0 - 3 \cdot (4x \cdot -2) \cdot -6y = 18 - 8x \)
2. \( 0 - 3 \cdot (4x : -2) \cdot -6y = (-3 \cdot 4x) \cdot -2 \cdot -6y \)
3. \( 0 - 3 \cdot (4x \cdot -2) \cdot -6y = -7xy \)
4. \( 0 - 3 \cdot (4x \cdot -2) \cdot -6y = (-3 \cdot 4x) \cdot (-2 \cdot -6y) \)

Now let's take the one that shows right-hand side simplified correctly according to the rules related to addition and multiplication.

After looking closely at the expressions, the expression that appears to use the Associative Property directly and keeps similar format is:

Answer: \( 0 - 3 \cdot (4x \cdot -2) \cdot -6y = (-3 \cdot 4x) \cdot (-2 \cdot -6y) \)

Thus, your answer is expression 4.