Question

Which expression shows a way to factor 45+80?

Answer 1

To factor the expression \( 45 + 80 \), we can first factor out the greatest common divisor (GCD) of the two terms.

1. The GCD of 45 and 80 is 5.
2. We can express both 45 and 80 in terms of 5:
- \( 45 = 5 \times 9 \)
- \( 80 = 5 \times 16 \)

Now, we can rewrite the expression:

\[
45 + 80 = (5 \times 9) + (5 \times 16)
\]

We can factor out the 5:

\[
= 5(9 + 16)
\]

Thus, the factored form of \( 45 + 80 \) is:

\[
5(9 + 16)
\]

You can also find the sum inside the parentheses:

\[
9 + 16 = 25
\]

So, it becomes \( 5 \times 25 \).

Therefore, one expression that shows a way to factor \( 45 + 80 \) is:

\[
5(25)
\]

Both forms \( 5(9 + 16) \) and \( 5 \times 25 \) are correct ways to factor \( 45 + 80 \).