Question

Which expression is equivalent to c^2-4/c+3 / c+2/3(c^2-9)?

Answer 1

C.
when divide a fraction, multiply the reciprocal (the upside down) of the fraction.

Answer 2

Option C is correct

the expression which is equivalent to the expression
`((c^2-4)/(c+3))/((c+2)/(3(c^2-9)) )` is,
`(c^2-4)/(c+3) \cdot (3(c^2-9))/(c+2)`

Step-by-step explanation:

Given: The expression is:
`((c^2-4)/(c+3))/((c+2)/(c^2-9) )`

We remember that dividing fraction a by fraction b is the same as multiplying fraction a by the reciprocal of fraction b or vice versa.

Using expression:
`((p)/(q))/((r)/(s) )`

⇒
`(p)/(q) \cdot (s)/(r)`

Let p=
`c^2-4`, q=c+3 , r =c+2 and s =
`3(c^2-9)`

then;

`((p)/(q))/((r)/(s) )` =
`(p)/(q) \cdot (s)/(r)`

=
`(c^2-4)/(c+3) \cdot (3(c^2-9))/(c+2)`

Therefore, the expression which is equivalent to the given expression is,

`(c^2-4)/(c+3) \cdot (3(c^2-9))/(c+2)`