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16 votes
16 votes
Perfrom the indicated operation

c^2+4c/c^2-4 divided by 3c+12/c-2

Find answer if _____ is true

User Villar
by
3.0k points

2 Answers

22 votes
22 votes

Answer: (6,0)

Explanation:

User Karel Horak
by
3.1k points
14 votes
14 votes

Answer:


(c)/(3(c+2))

Explanation:


(c^2+4c)/(c^2-4) / (3c+12)/(c-2)=(c^2+4c)/(c^2-4) * (c-2)/(3c+12)=((c^2+4c)(c-2))/((c^2-4)(3c+12))

Factor
c^2-4:
c^2-4=(c-2)(c+2)


\implies((c^2+4c)(c-2))/((c+2)(c-2)(3c+12))

Cancel the common factor
(c-2):


\implies((c^2+4c))/((c+2)(3c+12))

Factor
c^2+4c:
c^2+4c=c(c+4)

Factor
3c+12:
3c+12=3(c+4)


\implies(c(c+4))/(3(c+2)(c+4))

Cancel the common factor
(c+4):


\implies(c)/(3(c+2))

User Enza
by
3.1k points