Which expression is NOT equivalent to 3(x + 3)?ResponsesA 3x + 93 x + 9B (3 + x) • 3(3 + x ) • 3C 3(x + 9)3( x + 9)D 3 • x + 3 • 33 • x + 3 • 3
Question
Which expression is NOT equivalent to 3(x + 3)?
Responses
A 3x + 9
B (3 + x) • 3
C 3(x + 9)
D 3 • x + 3 • 3
Solution
The expression that is NOT equivalent to 3(x + 3) is B. (3 + x) • 3.
Here's why:
A. 3x + 9: This is equivalent to 3(x + 3) because when you distribute the 3 in the latter expression, you get 3x + 9.
B. (3 + x) • 3: This is NOT equivalent to 3(x + 3). When you distribute the 3 in this expression, you get 3x + 9, which is not the same as 3x + 9.
C. 3(x + 9): This is equivalent to 3(x + 3) because when you distribute the 3 in the latter expression, you get 3x + 9.
D. 3 • x + 3 • 3: This is equivalent to 3(x + 3) because when you distribute the 3 in the latter expression, you get 3x + 9.
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