Question

What expression is equivalent to 7-2z-4(z^3-z^3+4z^2+11z+14/z+2)

Answer 1

Answer:

$\frac{-18z^{2}-37z-46}{z+2}$

Step-by-step explanation:

The given expression is

$7-2z-4(\frac{z^{3}-z^{3}+4z^{2}+11z+14}{z+2})$

First, we have to apply distributive property

$7-2z+\frac{-16z^{2}-44z-56}{z+2}=7-2z-\frac{16z^{2}+44z+56}{z+2}$

Then, we sum each term with the fraction, and solve the rest of operations, as follows

$\frac{(7-2z)(z+2)-(16z^{2}+44z+56)}{z+2}\\\frac{7z+14-2z^{2}-4-16z^{2}-44z-56}{z+2}\\\frac{-18z^{2}-37z-46}{z+2}$

Therefore, the equivalent expression is

$\frac{-18z^{2}-37z-46}{z+2}$

Answer 2

Had to answer it on notepad. Hope This Is Right.