Question

Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis?

Answer 1

Answer:
`2z^(2) + 14 z +6` and
`2(z^(2) + 7 z +3)`

Explanation:

We have the following expression:

`z+(z+6)z+(z+6)z+(z+6)`

Let's solve it:

`z+z^(2)+6z+z^(2)+6z+z+6`

We have this result:

`2z^(2) + 14 z +6`

However if we apply coomon factor 2, we will have a simplified result:

`2(z^(2) + 7 z +3)`