Q. 251 - Intermediate Algebra

Question

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

Step-by-Step Solution

Answer

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

Step 1. Given Information

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

Step 2. Solve for the multiplication of given expression.

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

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