Mathematics
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OpenStudy (el_arrow):
i need help with simplifying this problem
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OpenStudy (el_arrow):
|dw:1414459195481:dw|
OpenStudy (hlambach):
Ish, this is going to take a while. But it's simple. All you have to do is multiply is all out.
OpenStudy (el_arrow):
it simplifies down to n(n^2+6n+17)/3
OpenStudy (el_arrow):
i tried but i keep getting it wrong
OpenStudy (hlambach):
Now you need to multiply (n^2+6n+17) by n, because you haven't finished FOILing.
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OpenStudy (el_arrow):
its a sigma notation problem |dw:1414459378591:dw|
OpenStudy (kendricklamar2014):
OpenStudy (el_arrow):
yeah this is complicated
OpenStudy (hlambach):
Okay, so I don't know what that is, I'm sorry. haha @KendrickLamar2014 wanna take it from here?
OpenStudy (el_arrow):
he left already
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OpenStudy (hlambach):
Yeah, I'm really sorry. I haven't even studied that yet, haha. @ganeshie8 you're smart, wanna help this guy out?
OpenStudy (el_arrow):
please @ganeshie8
OpenStudy (el_arrow):
i dont know what to do
ganeshie8 (ganeshie8):
whats the exact question ? if possible could u please take a screenshot and attach ?
OpenStudy (el_arrow):
i dont know how to do that
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OpenStudy (el_arrow):
|dw:1414459919892:dw|
OpenStudy (el_arrow):
@ganeshie8
OpenStudy (el_arrow):
i am stuck on that
ganeshie8 (ganeshie8):
start by factoring out n
ganeshie8 (ganeshie8):
\[\large \dfrac{n(n+1)(2n+1)}{6} + \dfrac{3n(n+1)}{2} + 4n\]
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ganeshie8 (ganeshie8):
\[\large n\left[ \dfrac{(n+1)(2n+1)}{6} + \dfrac{3(n+1)}{2} + 4\right]\]
ganeshie8 (ganeshie8):
get common denominator
ganeshie8 (ganeshie8):
\[\large n\left[ \dfrac{(n+1)(2n+1)}{6} + \dfrac{9(n+1)}{6} + \dfrac{24}{6}\right]\]
ganeshie8 (ganeshie8):
add up
ganeshie8 (ganeshie8):
\[\large n\left[ \dfrac{(n+1)(2n+1) + 9(n+1) + 24}{6} \right]\]
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ganeshie8 (ganeshie8):
next expand the binomials in numberator
ganeshie8 (ganeshie8):
\[\large n\left[ \dfrac{2n^2+3n+1 + 9n+9 + 24}{6} \right]\]
ganeshie8 (ganeshie8):
\[\large n\left[ \dfrac{2n^2+12n+34}{6} \right]\]
ganeshie8 (ganeshie8):
finally factor out a 2 and cancel
OpenStudy (el_arrow):
oh man you did thank you!
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OpenStudy (el_arrow):
i never thought about factoring out the n i am so stupid
ganeshie8 (ganeshie8):
np :) i never thought about factoring it too before seeing the answer u wanted