Verified answer

I'm a bit unclear as to your order of operations... do you mean

(z^2-4) / (z/z) + 2/(z+7) ?

or did you mean

( (z^2-4)/z )/z + 2/(z+7) ?

or something else entirely?

If you meant the first one, the z's in the denominator cancel, leaving z^2 - 4 + 2/(z+7)

If you meant the second, the z's combine, leaving 1 - 4/z^2 + 2/(z+7)

If you meant something else, please edit your question and I will edit the answer.

(z^2-4)/z÷z+2/(z+7)=

(z-2)(z+2)/z

---------------- =

(z+2)/(z+7)

(z-2)

-------

z(z+7)