Answer
$2b(a+6)(a-4)$
Work Step by Step
$2a^2b+4ab-48b$ 2b is a common factor.
$2b(a^2+2a-24)$
=$2b(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$
=$2b(a\ \ \ \ \ \ \ )(a\ \ \ \ \ \ \ )$
=$2b(a+\ \ )(a-\ \ )$ The factors of -24 must have unlike signs.
=$2b(a+6)(a-4)$ 6 and -4 have a sum of 2 and a product of -24.
