How do you simplify \frac { \frac { c + 4} { c ^ { 2} + 5c - 24} } { \frac { 2c ^ { 2} + 8c } { 2c ^ { 2} - 3c - 9} }?

1 Answer
Nov 19, 2017

(2c+3)/(2c*(c+8))

c!=-4
c!=3

Explanation:

((c+4)/(c^2+5c-24))/((2c^2+8c)/(2c^2-3c-9))=
=((c+4)*(2c^2-3c-9))/((c^2+5c-24)*(2c^2+8c))=


(2c^2-3c-9)=(c-3)(2c+3)
(c^2+5c-24)=(c-3)(c+8)


=>

=((c+4)*(c-3)*(2c+3))/((c-3)*(c+8)*2c*(c+4))=
=((2c+3))/((c+8)*2c)