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|dw:1438068450403:dw|

for example |dw:1438068733033:dw| then take lcd of all of these guys

luckily the problem we are given isn't harsh like that (though I did s^5 at one point)

show me your attempt :)

ok hold on

and then

STOP!

the A part is fine.. the one with the exponent.. no...

\[2x=A(x-2)^2+B(x+1)\]
x=2 gives
\[4=A(0)^2+B(3)\]
B=4/3

ohh

|dw:1438069450631:dw|

I think order matters too... |dw:1438069483088:dw|

the lcd for this is \[(x+1)(x-1)^2 \]
alright take the lcd ;)

ahem... take the lcd for |dw:1438069618368:dw|

alright alright, give me a sec:)

|dw:1438069792243:dw|

stop setting 2x =
that's not going to work

the lcd part is good though

|dw:1438069902990:dw|

k expand all of that

*eats popcorn while I wait*

I dont get this at all....whats wrong with me!!

oyyyyyyyy........

|dw:1438070102575:dw|

your turn :)

whats does foil mean':)?

foil - first outer inner last... okkk expand :)

Maybe I shouldve told u havent slept in 2 days...

then you should take a break from math and sleep

try finishing the problem?

so expanding c gives
x^2-2x+1

for A gives x^2-1

|dw:1438070573305:dw|
|dw:1438070618427:dw|

yeah...

|dw:1438070677726:dw|

now distribute the letters

the problem is that I can't give direct answers... so can't finish it without getting busted.

@Xlegalize can you come back over here so we can finish this please?

im here

I'll give an example
\[A(x^2-1) = Ax^2-A \]

then similarly for B and C
\[B(x+1) \rightarrow Bx+B \]
\[C(x^2-2x+1) \rightarrow Cx^2-C2x+C \]

\[\large \frac{Ax^2-A+Bx+B+Cx^2-2xC+C}{(x+1)(x-1)^2}\]

\[-A+B+C =0\]
\[B-2C=2 \]
\[A+C =0 \]

B=2+2c
A=2+2c+c
A+c=0
2+2c+c+c=0

ok that is easier.

so now adding
B-2C=2
B+2C=0
we have
2B=2
B = 1

B-2C=2
1-2C=2
|dw:1438074079535:dw|

a=1/2

|dw:1438074167001:dw|

|dw:1438074628205:dw|

Go on:)

yeah I also got those parts.

the last one takes more work.

yeah x.x now.. using u sub.
u = x-1
du = 1 dx

|dw:1438074892358:dw| I wanna recheck that just to be sure

yep thats correct.

thanks :)
so final answer after all that jazz is
|dw:1438075034959:dw|

I will take a break and go through this all again. So Im 100 on this
THANKS!!!!

you're welcome :)