Simplify each expression and show as much work as possible.

Simplify:
(1)
[tex]4w^2+7w^2+7z^2[/tex](2)
[tex]15w-6w+14w^2[/tex]Explanation:
(1)
take common
[tex]w^2[/tex][tex]\begin{gathered} 4w^2+7w^2+7z^2 \\ =w^2(4+7)+7z^2 \\ =11w^2+7z^2 \end{gathered}[/tex](2)
take
[tex]w[/tex]common from the given equation
[tex]\begin{gathered} 15w-6w+14w^2 \\ =w(15-6)+14w^2 \\ =9w+14w^2 \end{gathered}[/tex]Final answer:
[tex]\begin{gathered} 4w^2+7w^2+7z^2=11w^2+7z^2 \\ 15w-6w+14w^2=9w+14w^2 \end{gathered}[/tex]