Question

Simplify each expression and show as much work as possible.

Answer 1

Simplify:

(1)

`4w^2+7w^2+7z^2`

(2)

`15w-6w+14w^2`

Step-by-step explanation:

(1)

take common

`w^2`
`\begin{gathered} 4w^2+7w^2+7z^2 \\ =w^2(4+7)+7z^2 \\ =11w^2+7z^2 \end{gathered}`

(2)

take

`w`

common from the given equation

`\begin{gathered} 15w-6w+14w^2 \\ =w(15-6)+14w^2 \\ =9w+14w^2 \end{gathered}`

Final answer:

`\begin{gathered} 4w^2+7w^2+7z^2=11w^2+7z^2 \\ 15w-6w+14w^2=9w+14w^2 \end{gathered}`