Mathematics
13 Online
OpenStudy (anonymous):
ok, what do i factor or where do i begin
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OpenStudy (anonymous):
OpenStudy (anonymous):
Ok lets try to factor each numerator and denominator and then simplify
OpenStudy (anonymous):
So lets start off with the first one \( c^2-4\)
OpenStudy (anonymous):
so on the first would i factor c^2 - 4 as :
(c + 2)(c - 2)
c^2 - 2c + 2c - 4
c^2 - 4
am i correct
OpenStudy (anonymous):
We know the rule \( a^2-b^2=(a-b)(a+b)\)
So we can say that \(c^2-2^2=(c-2)(c+2)\)
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OpenStudy (anonymous):
YUP :)
OpenStudy (anonymous):
i need help
OpenStudy (anonymous):
lol ok
OpenStudy (anonymous):
Can you please delete that?
Its disturbing our thought process here
OpenStudy (anonymous):
We dont know the answer sorry kid
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OpenStudy (anonymous):
Ok the next term is \(6c^4+15c^3\)
Now we can factor out a 3 and a "c"
\(6c^4+15c^3 = 3c^3(2c+5)\)
OpenStudy (anonymous):
Do ya follow?
OpenStudy (anonymous):
so you divided both sides by 3?
OpenStudy (anonymous):
i mean both 6 and 15
OpenStudy (anonymous):
Umm you can look at it like that if that makes sense to you
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OpenStudy (anonymous):
Its basically the opposite of distributing
OpenStudy (anonymous):
ok so now i would have:
(c + 2)(c - 2)
------------
3c^3 (2c + 5)
OpenStudy (anonymous):
Yup now lets factor the second term
OpenStudy (anonymous):
\(c^2+4c+4\)
OpenStudy (anonymous):
Familiar with perfect square?
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OpenStudy (anonymous):
ok i see or at least i think i do
i need to find out what is needed to foil that would equal c^2 + 4c + 4
OpenStudy (anonymous):
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