## Intermediate Algebra: Connecting Concepts through Application

$(3a+5)(2a+7b)$
Group the four terms into two sets of parentheses and pull out the greatest common factors in each. $6a^2+10a+21ab+35b$ $=(6a^2+10a)+(21ab+35b)$ $=2a(3a+5)+7b(3a+5)$ $=(3a+5)(2a+7b)$