find the product of
2n^2+4n+4)(4n-5)
a. 8n^3+26n^2-36n-20
b. 8n^3+6n^2-4n-20
c. 8n^3+4n^2-6n-20
d. 8n^3-6n^2+36n-20
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OpenStudy (anonymous):
please someone give me the answer
OpenStudy (kropot72):
We can help you to find the answer if you like.
OpenStudy (anonymous):
yes please
OpenStudy (kropot72):
\[Product=2n ^{2}(4n-5)+4n(4n-5)+4(4n-5)\ .............(1)\]
Now you need to remove the brackets and collect the like terms.
OpenStudy (kropot72):
@athorn2422 Do you know how to remove the brackets?
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OpenStudy (anonymous):
@kropot72 your making it very complicated by doing it like that
OpenStudy (anonymous):
just multiply
OpenStudy (kropot72):
Multiply each term inside the brackets by the term outside the brackets. For example:
\[5x ^{3}(7x-20)=35x ^{4}-100x ^{3}\]
OpenStudy (kropot72):
@FriedRice Yes, we are just multiplying!
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
no a easy way by cross multiplying like this
2n^2+4n+4)(4n-5)
8n^3 + 16n^2 + 16n -10n^2 - 20n -20
8n^3 + 6n^2 + 4n - 20
instead of doing
Product=2n2(4n−5) + 4n(4n−5) + 4(4n−5)
OpenStudy (kropot72):
@FriedRice Would you please refrain from working through to a complete answer.
OpenStudy (anonymous):
well you are cross multiplying like this
|dw:1403764889678:dw|