Mathematics
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OpenStudy (anonymous):
simplify completely 3x^2+21x-54/x^2+3x-54
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OpenStudy (solomonzelman):
\[\huge\color{blue}{ \frac{3x^2+21x-54}{x^2+3x-54 } } \]
\[\huge\color{blue}{ \frac{3(x^2+7x-18)}{x^2+3x-54 } } \]
\[\huge\color{blue}{ \frac{3( x+9 ) (x-2)}{(x-6)(x+9) } } \]
OpenStudy (solomonzelman):
Go from here.
OpenStudy (shamil98):
was gonna say let her factor it out, she's asked previous questions with the same thing, ...
OpenStudy (solomonzelman):
Oh, I didn't see the previous question, just logged on, sorry.
OpenStudy (solomonzelman):
@helpineedit, can you do it from where I left of?
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OpenStudy (solomonzelman):
\[\huge\color{blue}{ \frac{3 \color{red} { (x+9) } (x-2)}{(x-6)\color{red} { (x+9) } } } \]see what cancels?
OpenStudy (anonymous):
so 3(x-2)/(x-6)
OpenStudy (solomonzelman):
Yup!
OpenStudy (anonymous):
thnks for helping me :)
OpenStudy (solomonzelman):
YW!
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OpenStudy (anonymous):
could u help me with 3 more?
OpenStudy (solomonzelman):
i can try at least.
OpenStudy (solomonzelman):
Ask
OpenStudy (anonymous):
simplify completely 2x^2+13x+20/x^2-5x-36
OpenStudy (solomonzelman):
\[\huge\color{blue}{ \frac{2x^2+13x+20}{x^2-5x-36 } } \]can you do this the same way I did the previous question?
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OpenStudy (anonymous):
2+13x+20/-5x-36
OpenStudy (solomonzelman):
What? Are you saying that that's the question (instead of what I wrote) ?
OpenStudy (anonymous):
oh no i was trying and i guess failing at canceling out
OpenStudy (solomonzelman):
Sorry, hold on.
OpenStudy (shamil98):
Factor the numerator and denominator..
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OpenStudy (solomonzelman):
\[\huge\color{red}{ \frac{2x^2+13x+20}{x^2-5x-36} } \]
\[\huge\color{blue}{ \frac{ (2x~+~\text{_})(x~+~\text{_}) }{ (x~-~~\text{_})(x~+~\text{_})} }\]
OpenStudy (solomonzelman):
Fill in blanks.
OpenStudy (anonymous):
(2x+13x)(x+20)
(x-5x)(x+36)
OpenStudy (solomonzelman):
Wow, no, you are incorrect.
OpenStudy (anonymous):
darn! it was kind of confusing what number to put were sorry
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OpenStudy (solomonzelman):
Lets try to think.
For the top
2a+b=13
a*b=20
For the bottom
a-b=5
a*b=36
OpenStudy (solomonzelman):
(a and b are the 2 constants)
OpenStudy (anonymous):
ok i tried to do the problem and this is what i got 2(x+10)/x-9
OpenStudy (solomonzelman):
No.
OpenStudy (solomonzelman):
Can you factor it out?
(Again)
For the top
2a+b=13
a*b=20
For the bottom
a-b=5
a*b=36
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OpenStudy (anonymous):
ohh yea your right.
OpenStudy (anonymous):
is there a 13 in it at all?
OpenStudy (solomonzelman):
What do you mean?
OpenStudy (anonymous):
like im not sure if its 13x+5 or 2(13x+5)
OpenStudy (solomonzelman):
Do you know how to factor at all? To me you seem unprepared for this, do you want to learn how to factor?
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OpenStudy (anonymous):
yes please
OpenStudy (solomonzelman):
Or I can make a question where you would get an IS tutor, I am not good at teaching from zero, sorry.
OpenStudy (anonymous):
its ok i have to leave in a bit and need this done so maybe i can find another way
OpenStudy (solomonzelman):
Alright.