Use Greatest Common Factor to rewrite the expression:

(63 + 81) = ____ (____+____)

1 answer

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.