How do you factor #18p q - 48p + 15q - 40#?

1 Answer
Alan P.
Mar 21, 2017

#18pq-48p+15q-40=color(green)((6p+5)(3q-8))#

Explanation:

If we group the first two and last two terms as:
#color(white)("XXX")color(red)(18pq-48p)+color(blue)(15q-40)#
and factor out common terms in each pair:
#color(white)("XXX")color(red)((6p)(3q-8))+color(blue)(5(3q-8))#
then extracxt the common factor #color(green)(""(3q-8))# from each term:
#color(white)("XXX")(color(red)(6p)+color(blue)5)color(green)(""(3q-8))#

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