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(3 points)

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 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:

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