Question

(3 points)
Use Greatest Common Factor to rewrite the expression:

(63+81) = ( + )

Answer 1

To rewrite the expression \( (63 + 81) \) using the Greatest Common Factor (GCF), we first need to find the GCF of the two numbers, 63 and 81.

1. **Find the factors**:
- The factors of 63 are: \( 1, 3, 7, 9, 21, 63 \).
- The factors of 81 are: \( 1, 3, 9, 27, 81 \).

2. **Identify the GCF**:
- The common factors of 63 and 81 are: \( 1, 3, 9 \).
- The greatest of these is \( 9 \).

3. **Factor out the GCF from each term**:
- Rewrite \( 63 \) as \( 9 \times 7 \).
- Rewrite \( 81 \) as \( 9 \times 9 \).

Now we can rewrite the expression as:

\[
(63 + 81) = (9 \times 7 + 9 \times 9) = 9(7 + 9)
\]

So, in the format you provided:

\[
(63 + 81) = (9(7) + 9(9)) = (9(7 + 9))
\]

Therefore, the final answer is:

\[
(63 + 81) = (9 \times 7 + 9 \times 9) = 9(7 + 9)
\]