How do you simplify #12s - 4t + 7t - 3s#?

1 Answer
Jul 8, 2015

#12s-4t+7t-3s = 9s +3t#
or#color(white)("XXXX")##color(white)("XXXX")# #=3(3s+t)#

Explanation:

#12s-4t+7t-3s#
can be regrouped as
#color(white)("XXXX")##(12s-3s) +(7t-4t)#

#color(white)("XXXX")##=(12-3)s +(7-4)t#
#color(white)("XXXX")##=9s +3t#

or, extracting a common factor of 3
#color(white)("XXXX")##=3(3s+t)#