How do you multiply #(5b - 3) ( 3b - 5)#?

1 Answer
lmaobob
Apr 24, 2018

#15b^s -34b-15#

Explanation:

Let's say #5b# is a, #-3# is b, #3b# is c and #-5# is d
We always have to multiply #a# by #c#, then #a# by #d#, then #b# by #c#, then #b# by #d#.
AKA #ac#, #ad#, #bc#, #bd#
#ac# would equal #5b * 3b# , which is equal to #15b^2#.

#ad# would equal #5b * -5# , which is equal to #-25b#

#bc# would equal #3b *-3# , which is equal to #-9b#

#bd# would equal # -3*-5# , which is equal to #-15#

Add 'em all together and you get #15b^2 -25b-9b-15#.
Simplify and you get #15b^s -34b-15#

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