Question

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 numbers 63 and 81.

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

2. **Find the GCF**:
- The common factors are \( 1, 3, 9 \).
- The greatest common factor is \( 9 \).

3. **Factor out the GCF**:
- We can express \( 63 \) and \( 81 \) in terms of \( 9 \):
- \( 63 = 9 \times 7 \)
- \( 81 = 9 \times 9 \)

4. **Rewrite the expression**:
- Now we can factor \( 9 \) out of \( 63 + 81 \):
\[
63 + 81 = 9 \times 7 + 9 \times 9 = 9 (7 + 9)
\]

Thus, the expression \( (63 + 81) \) can be rewritten as:
\[
(63 + 81) = 9(7 + 9)
\]

In the format you provided, it would be:
\[
(63 + 81) = 9(7 + 9)
\]
So the blanks would be filled with:
9, 7, 9.