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Mathematics 16 Online
OpenStudy (el_arrow):

i need help with simplifying this problem

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.

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

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

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):

\[\large \dfrac{n(n+1)(2n+1)}{6} + \dfrac{3n(n+1)}{2} + 4n\]

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):

\[\large n\left[ \dfrac{(n+1)(2n+1) + 9(n+1) + 24}{6} \right]\]

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!

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

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