Question

Simplify each expression. If not possible, write simplified.

$\mathbf{5}{\mathit{z}}^{\mathbf{2}}\mathbf{+}\mathbf{3}\mathit{z}\mathbf{+}\mathbf{8}{\mathit{z}}^{\mathbf{2}}$

Short answer

The simplified expression of $5z^2+3z+8z^2$is $\mathbf{13}{\mathit{z}}^{\mathbf{2}}\mathbf{+}\mathbf{3}\mathit{z}$.

Step-by-step solution

Step 1. Identify the like terms.

Like terms are the terms having the same variables with the same power.

The given expression has${\mathit{z}}^{\mathbf{2}}$as like terms.

Step 2. Combine the like terms.

$5z^2+3z+8z^2=\left(5z^2+8z^2\right)+3z\left[AssociativeProperty\right]$

Step 3. Simplify the expression.

A simplified expression does not contain any like terms or parentheses.

$\begin{array}{l}5z^2+3z+8z^2=\left(5z^2+8z^2\right)+3z\left[Subtract\right]\\ =13z^2+3z\end{array}$