Mathematics
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OpenStudy (anonymous):
can you please help!!!!!!!!! (v+1) (v2-v+1) the 2 is an exponent
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OpenStudy (anonymous):
seems like you have a sum of cubes, what do you need help with?
jimthompson5910 (jim_thompson5910):
Hint: (v+1)(v^2-v+1) = v(v^2-v+1) + 1(v^2-v+1)
OpenStudy (anonymous):
how do you solve it and what is the problem even called. My teacher does not help at all
jimthompson5910 (jim_thompson5910):
What happens when you distribute v(v^2-v+1) ?
OpenStudy (anonymous):
you multiply them?
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jimthompson5910 (jim_thompson5910):
yes, v*v^2 - v*v + v*1
OpenStudy (anonymous):
so whats the answer?
jimthompson5910 (jim_thompson5910):
tell me what you get and I'll confirm it for you
OpenStudy (anonymous):
ahh i dont know.... you do V times v2?
jimthompson5910 (jim_thompson5910):
yes, which gives you what?
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OpenStudy (anonymous):
v3-v2+v?
jimthompson5910 (jim_thompson5910):
you got it
jimthompson5910 (jim_thompson5910):
that's just part of the answer though
jimthompson5910 (jim_thompson5910):
Now distribute 1(v^2-v+1)
OpenStudy (anonymous):
v2-v+1?
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jimthompson5910 (jim_thompson5910):
you got it
jimthompson5910 (jim_thompson5910):
so
v(v^2-v+1) + 1(v^2-v+1)
becomes
v^3 - v^2 + v + v^2 - v + 1
jimthompson5910 (jim_thompson5910):
To finish off, combine like terms
OpenStudy (anonymous):
v3-v2+v
v2-v +1 answer: v3+v+1?
jimthompson5910 (jim_thompson5910):
close
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jimthompson5910 (jim_thompson5910):
notice we have a +v and a -v
OpenStudy (anonymous):
so its a -v
jimthompson5910 (jim_thompson5910):
what is v-v ?
OpenStudy (anonymous):
0
jimthompson5910 (jim_thompson5910):
yes, so the v terms basically go away
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OpenStudy (anonymous):
so v3+1 is the answer?
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
thank you soooooooo much!!!!!!!!!!!!!!
jimthompson5910 (jim_thompson5910):
you're welcome