Select the expressions that are equivalent to 5(c–5).

1 answer

To find expressions that are equivalent to \( 5(c - 5) \), we can start by distributing the 5:

\[ 5(c - 5) = 5c - 25 \]

Now, let's look for any expressions that simplify to \( 5c - 25 \):

  1. Option A: \( 5c - 25 \) (This is obviously equivalent.)
  2. Option B: \( 5(c - 5) \) (This is the original expression, so it is equivalent.)
  3. Option C: \( 10c - 50 \) (This simplifies to \( 10(c - 5) \), which is not equivalent.)
  4. Option D: \( -5( -c + 5) \) (This simplifies to \( 5c - 25 \), so it is equivalent.)

Based on this analysis, the expressions equivalent to \( 5(c - 5) \) are:

  • \( 5c - 25 \)
  • \( 5(c - 5) \)
  • \( -5(-c + 5) \)

If you have specific options provided, please list them, and I can help identify which ones are equivalent!