Question

Use Greatest Common Factor to rewrite the expression:
(63 + 81)= ((choose one) 9, 7, 8) ( (choose one) 6, 7, 8) + ((choose one) 8, 9, 10)

Answer 1

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

The factors of 63 are:
- \( 1, 3, 7, 9, 21, 63 \)

The factors of 81 are:
- \( 1, 3, 9, 27, 81 \)

The common factors are:
- \( 1, 3, 9 \)

The greatest common factor is \( 9 \).

Now, we can rewrite the expression \( 63 + 81 \) as follows:
\[
63 + 81 = 9(7 + 9)
\]

Now, we can write it in the form:
\[
(63 + 81) = (9)( (7) + (9))
\]

So, filling in the options provided, we have:
- The first blank (GCF) is \( 9 \),
- The second blank (the coefficient of 7) is \( 7 \),
- The last blank (the other number summed with 7) is \( 9 \).

Putting it all together, we conclude:
\[
(63 + 81) = (9)(7) + (9)
\]