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Question

# Use FOIL to find the product$\left(5 y^3 w^2+z\right)\left(2 y^3 w^2+3 z\right)$

Solution

Verified

Expression:

$\begin{equation*} (5y^3w^2 + z)(2y^3w^2 +3z) \end{equation*}$

Expand using FOIL method:

$\begin{equation*} =5y^3w^2(2y^3w^2) + z(2y^3w^2)+5y^3w^2(3z)+z(3z) \end{equation*}$

Simplify using product of power property where required:

$\begin{equation*} =10y^6w^4 + 2y^3w^2z+15y^3w^2z+3z^2 \end{equation*}$

Perform the indicated operation between like terms to simplify:

$\begin{equation*} =10y^6w^4 + 17y^3w^2z+3z^2 \end{equation*}$

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