Mathematics
4 Online
OpenStudy (anonymous):
any thoughts on this one multiply and simplify the expression (3b-2)(4b-4)
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OpenStudy (kainui):
Do FOIL method. Multiply First, Outer, Inner, and Last terms together and add them up.
OpenStudy (anonymous):
12b^2-12b-8b+8=12b^2-20b+8
jimthompson5910 (jim_thompson5910):
Or, you can do this
(3b-2)(4b-4)
3b(4b-4) - 2(4b-4)
I'll let you finish
OpenStudy (anonymous):
so is this even close 12b-18
jimthompson5910 (jim_thompson5910):
what is 3b(4b-4)
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jimthompson5910 (jim_thompson5910):
what does it distribute out to
OpenStudy (anonymous):
12b-4
jimthompson5910 (jim_thompson5910):
3b times 4b = ???
OpenStudy (anonymous):
no wait 12b^2
jimthompson5910 (jim_thompson5910):
what is 3b times -4?
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OpenStudy (anonymous):
-12
jimthompson5910 (jim_thompson5910):
-12b
jimthompson5910 (jim_thompson5910):
since that b gets tacked on the end
OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
so
3b(4b-4)
becomes
12b^2 - 12b
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jimthompson5910 (jim_thompson5910):
do the same with the other group
OpenStudy (anonymous):
so now I am multiply 2 times 4b-4 correct
OpenStudy (anonymous):
so minues -8b-8 correct
OpenStudy (anonymous):
the final answer would look like this 12b^2-12b-8b-8 is this what the final answer should look like
jimthompson5910 (jim_thompson5910):
We want to distribute -2(4b - 4), so
-2 times 4b = -8b
-2 times -4 = 8
----------------
This means
-2(4b - 4)
becomes
-8b + 8
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jimthompson5910 (jim_thompson5910):
So we now have
(3b-2)(4b-4)
3b(4b-4) - 2(4b-4)
12b^2 - 12b - 8b + 8
jimthompson5910 (jim_thompson5910):
that's not the final answer, but one step away from it
OpenStudy (anonymous):
12b^2-20b+8 Final
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
thank you very much
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jimthompson5910 (jim_thompson5910):
np