Question

In the following exercises, find the product of ${\left(y^4\hspace{0.17em}+\hspace{0.17em}2z\right)}^2$.

Short answer

The product of ${(y^4+2z)}^2$is $y^8+4y^{4}z+4z^2$ .

Step-by-step solution

Step 1. Given Information

The given expression is ${(y^4+2z)}^2$

Step 2. Solve for the multiplication of given expression.

Multiply the expression ${(y^4+2z)}^2$

$$\begin{gathered} {(y^4+2z)}^2={\left(y^4\right)}^2+2y^4·\hspace{0.17em}2z+{\left(2z\right)}^2 \\ {\left(y^4\right)}^2+2y^4·\hspace{0.17em}2z+{\left(2z\right)}^2=y^8+4y^{4}z+4z^2 \end{gathered}$$