Question

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

Answer 1

A -4z^3+4z^2+6z+35

Explanation:

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Answer 2

`(-18z^(2)-37z-46)/(z+2)`

Explanation:

The given expression is

`7-2z-4((z^(3)-z^(3)+4z^(2)+11z+14)/(z+2))`

First, we have to apply distributive property

`7-2z+(-16z^(2)-44z-56)/(z+2)=7-2z-(16z^(2)+44z+56)/(z+2)`

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

`((7-2z)(z+2)-(16z^(2)+44z+56))/(z+2)\\(7z+14-2z^(2)-4-16z^(2)-44z-56)/(z+2)\\(-18z^(2)-37z-46)/(z+2)`

Therefore, the equivalent expression is

`(-18z^(2)-37z-46)/(z+2)`