Given he sum 70-25+45, rewrite 25+45 using their GCF and multiplication

1 answer

To rewrite \( 25 + 45 \) using their greatest common factor (GCF) and multiplication, we first need to find the GCF of 25 and 45.

The factors of 25 are: \( 1, 5, 25 \)
The factors of 45 are: \( 1, 3, 5, 9, 15, 45 \)

The GCF of 25 and 45 is \( 5 \).

Now, we can express \( 25 + 45 \) in terms of their GCF:

\[ 25 + 45 = 5 \times 5 + 5 \times 9 \]

Factoring out the GCF:

\[ 25 + 45 = 5(5 + 9) \]

Simplifying further, we have:

\[ 25 + 45 = 5 \times 14 \]

So, \( 25 + 45 \) can be rewritten using their GCF as:

\[ 5(5 + 9) \quad \text{or} \quad 5 \times 14 \]