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Mathematics 13 Online
OpenStudy (anonymous):

ok, what do i factor or where do i begin

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 \(c^2-2^2=(c-2)(c+2)\)

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

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

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?

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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