Use the distributive property to rewrite this expression.

6​(5cplus7vminus2d​)

1 answer

To use the distributive property on the expression \( 6(5c + 7v - 2d) \), you multiply each term inside the parentheses by \( 6 \):

\[ 6(5c) + 6(7v) + 6(-2d) \]

Now calculate each term:

  1. \( 6 \times 5c = 30c \)
  2. \( 6 \times 7v = 42v \)
  3. \( 6 \times -2d = -12d \)

Putting it all together, the expression becomes:

\[ 30c + 42v - 12d \]

So, the rewritten expression is \( 30c + 42v - 12d \).