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OpenStudy (anonymous):
i dont understand that
OpenStudy (kendricklamar2014):
Lets divide by parts, its really simple: \[\frac{ (3x-2)(x+1) }{ x+1 } = \frac{ (x+1) }{ x+1 } = ?\]
OpenStudy (kendricklamar2014):
That cancels out ^ right?
OpenStudy (anonymous):
what is all this /{[]/) stuff
OpenStudy (kendricklamar2014):
Latex, can you see the numbers?
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OpenStudy (anonymous):
yes
OpenStudy (kendricklamar2014):
Do you agree with me that (x+1)/x+1 cancels out?
OpenStudy (anonymous):
i got 2.1 when u put it in the calculator
OpenStudy (kendricklamar2014):
We dont need a calculator for this, only paper and a pencil/pen.
OpenStudy (anonymous):
oh ok
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OpenStudy (anonymous):
can we take it little by little
OpenStudy (anonymous):
how do i solve (x+1)/x+1
OpenStudy (anonymous):
does x+1 = x1?
OpenStudy (kendricklamar2014):
\[\frac{ (x+1) }{ x+1 } = 1\]
OpenStudy (kendricklamar2014):
Since your dividing the same number, the answer would be 1
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OpenStudy (anonymous):
ohhhhhhhhhhhhh okk
OpenStudy (anonymous):
how would i do it with 2 different numbers?
OpenStudy (kendricklamar2014):
\[\frac{ 3x-2 }{ 1 } = ?\]
OpenStudy (kendricklamar2014):
What would that equal ^
OpenStudy (anonymous):
and where did u get (x+1)/x+1 from
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OpenStudy (anonymous):
can we stick wit the first step please until i understand it
OpenStudy (kendricklamar2014):
Sure, the first step was divide: \[\frac{ 3x^3+x^2−2x }{ x^2+x }\]
OpenStudy (kendricklamar2014):
OS is lagging for me, let me refresh the page.
OpenStudy (anonymous):
i have to divide all that? how do i do that?
OpenStudy (kendricklamar2014):
\[\frac{ x^2 }{ x^2 } = \frac{ x }{ x }\]
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OpenStudy (anonymous):
can u break this down , \[\frac{ 3x^3 }{ x^2 } = \frac{ 3x^2 }{ x}\] this is the part that is confusing me
OpenStudy (kendricklamar2014):
Ok so, x^3/x^2 all that changes are the exponents.
OpenStudy (anonymous):
why is the exponent 1 less?
OpenStudy (kendricklamar2014):
We are diving all these numbers: \[\frac{ 3x^3+4x^2−4x }{ x^2+2x }\]
OpenStudy (anonymous):
i wanna put all that in the calculator but u said we dont use one
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OpenStudy (kendricklamar2014):
No we just have to solve it out
OpenStudy (anonymous):
thats the problem i dont know how to do that
OpenStudy (anonymous):
answer D?
OpenStudy (kendricklamar2014):
I dont have much time, but here is how you solve this problem. All you have to do is divide: \[\frac{ (3x^3+x^2-2x) }{ (x^2+x) }\]
\[= \frac{ (3x^2 + 4x-4) }{ x+1 }\]
\[\frac{ (3x−2)(x+1) }{ x+1 }\]
\[= 3x-2\]