Which of the following expressions is equivalent to 54−6⋅v

Question

?(1 point)
Responses

6(−9−v)
6 left parenthesis negative 9 minus v right parenthesis

6(9−v)
6 left parenthesis 9 minus v right parenthesis

6(v−9)
6 left parenthesis v minus 9 right parenthesis

6(9+v)
6 left parenthesis 9 plus v right parenthesis

Answer 1

To find an expression equivalent to \( 54 - 6 \cdot v \), we can factor out the common term.

Starting with the original expression:

\[ 54 - 6v \]

Notice that we can factor out 6 from both terms. The number 54 can be expressed as \( 6 \cdot 9 \):

\[ 54 - 6v = 6 \cdot 9 - 6 \cdot v = 6(9 - v) \]

Thus, the equivalent expression is:

\[ 6(9 - v) \]

Therefore, the correct response is:

6(9−v)