Which expression is equivalent to 6(2 − 3x)?

Question

Responses

A 12 − 18x12 − 18x

B 12 − 9x12 − 9x

C 8 − 18x8 − 18x

D 8 − 9x8

Answer 1

To find the expression equivalent to \( 6(2 - 3x) \), we can distribute the 6:

\[ 6(2 - 3x) = 6 \cdot 2 - 6 \cdot 3x \]

Calculating each term:

\[ 6 \cdot 2 = 12 \] \[ 6 \cdot 3x = 18x \]

Putting it all together gives:

\[ 12 - 18x \]

Therefore, the correct response is:

A: 12 - 18x