$\displaystyle \frac {c^2-3c}{c^2+2c-3} / \frac {c}{c+1}$

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- Apr 3rd 2008, 09:02 AMimbadatmathalgebra
$\displaystyle \frac {c^2-3c}{c^2+2c-3} / \frac {c}{c+1}$

- Apr 3rd 2008, 09:03 AMimbadatmath
/ is divided by i am not sure how to make the regular division sign

- Apr 3rd 2008, 09:08 AMOli
I bet one dollar the first denominator should read:

c^2-2c-3 - Apr 3rd 2008, 09:09 AMmathceleb
I'll give you a hint on this one...

$\displaystyle c^2 + 2c - 3$ = $\displaystyle (c - 1)(c + 3)$

The logic involved to get that is here:

Factoring Trinomial in Quadratic Form into the Product of 2 Binomials

Hint #2, just like in the other thread, dividing by a fraction is equal to multiplying by it's reciprocal. - Apr 3rd 2008, 09:12 AMimbadatmath
the reciprical would be c+1over c but how do u enter the equation into that link you sent me?

- Apr 3rd 2008, 09:16 AMimbadatmath
or is that totaly wronge?

- Apr 3rd 2008, 09:20 AMmathceleb
Your reciprocal is correct, $\displaystyle \frac {c + 1}{c}$

Enter the coefficients of your equation, there is an instruction link at the top of the page. For your equation, the coefficients are 1,2,-3. If you have not learned factoring trinomials in class, disregard that link. The important thing is to know that it can be factored, which will help you solve your problem quicker. - Apr 3rd 2008, 09:26 AMimbadatmath
well i have been out sick for a mouth and i am just getting all this work sent home so i am so confused on how to do anythign really i am sooo swamped so i am just trying to get as many answers as i can then go back and try to figure out how everything works

- Apr 3rd 2008, 09:36 AMmathceleb
No worries. Moving forward, we have:

$\displaystyle \frac {c^2 - 3c}{c^2 + 2c - 3} * \frac {c + 1}{c}$

factor out a c from the numerator of the first term:

$\displaystyle \frac {c(c - 3)}{c^2 + 2c - 3} * \frac {c + 1}{c}$

Cancel c's

$\displaystyle \frac {(c - 3)}{c^2 + 2c - 3} * \frac {c + 1}{1}$

Now simplify denominators:

$\displaystyle \frac {(c - 3)(c + 1)}{(c + 3)(c - 1)}$ - Apr 3rd 2008, 10:07 AMimbadatmath
is that the final answer or can you do any caneling out like make the c-3 and c-1 = c-2?

- Apr 3rd 2008, 10:10 AMmathceleb
- Apr 3rd 2008, 10:13 AMimbadatmath
ok i was just double checking thanks agian