Which expression shows a way to factor \( 30+45 ? \) \( \begin{array}{ccc}5(6+8) & 3(10+14) & 2(15+22)\end{array} \quad 15(2+3) \)

To factor \( 30 + 45 \), we can find the greatest common factor of the two numbers, which is \( 15 \). Thus, we can write the expression as \( 15(2 + 3) \). This means we can factor out \( 15 \) from the sum, breaking it down into \( 30 = 15 \times 2 \) and \( 45 = 15 \times 3 \), combining these gives us \( 15(2 + 3) \). Understanding how to factor expressions is crucial, especially in algebra. Factoring makes complex problems more manageable and helps in solving equations. In this case, recognizing that both terms share a common factor allows for simpler arithmetic. It's a handy skill to have, particularly when dealing with polynomial expressions or when simplifying fractions!