Question

Please help! I attached the question below.

Answer 1

`(2(c+2))/(c(c-2))`

Explanation:

`(c^(2)-4 )/(6c^(4)+15c^(3))=((c-2)(c+2))/(c(6c^(3)+15c^(2)) )`

Identity used:

`a^(2)-b^(2)=(a-b)(a+b)`

`(c^(2)-4c+4)/(12c^(3)+30c^(2))=((c-2)^(2))/(2(6c^(3)+15c^(2)) )`

Now let us divide the modified expressions:

`((c-2)(c+2))/(c(6c^(3)+15c^(2)))` ÷
`((c-2)^2)/(2(6c^(3)+15c^(2)) )`

we get:

`(2(c+2))/(c(c-2))`