Answer
$7(a+5b)$
Work Step by Step
The distributive law states that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$).
The greatest common factor for the terms in the given expression is 7. Therefore, we can use the distributive property to factor out 7 from both terms.
$7a+35b=7(a+5b)$