Question

Which expression shows a way to factor 54 + 42?
7(8 + 6)
7(9 + 6)
6(8 + 7)
6(9 + 7)

Answer 1

To factor the expression \(54 + 42\), we first calculate the sum:

\[
54 + 42 = 96
\]

Next, we find the common factor of \(54\) and \(42\). Both \(54\) and \(42\) can be divided by \(6\):

\[
54 = 6 \times 9
\]
\[
42 = 6 \times 7
\]

Thus, we can factor \(54 + 42\) as follows:

\[
54 + 42 = (6 \times 9) + (6 \times 7) = 6(9 + 7)
\]

So, among the given options, the correct expression that shows the factoring of \(54 + 42\) is:

\[
\boxed{6(9 + 7)}
\]