Which of the following expressions is equivalent to 54-6*v?

A. 6(9+v)
B. 6(-9-v)
C. 6(9-v)
D. 6(v-9)

1 answer

To find the expression equivalent to \( 54 - 6v \), let's factor out the 6 from the expression:

  1. Start with the original expression: \[ 54 - 6v \]

  2. Factor out 6: \[ 54 - 6v = 6(9 - v) \]

Now that we have identified the equivalent expression, we can compare it with the provided options:

A. \( 6(9 + v) \)
B. \( 6(-9 - v) \)
C. \( 6(9 - v) \)
D. \( 6(v - 9) \)

The correct option, which is equivalent to \( 54 - 6v \), is:

C. \( 6(9 - v) \).