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Given: The following polynomial expression
[tex](6x+9y)(6x-9y)[/tex]Required: To simplify the given polynomial expression.
Explanation: The following identity will be used
[tex](a+b)(a-b)=a^2-b^2[/tex]Hence,
[tex]\begin{gathered} (6x+9y)(6x-9y)=(6x)^2-(9y)^2 \\ =36x^2-81y^2 \end{gathered}[/tex]Or, we can write it as follows
[tex]=9(4x^2-9y^2)[/tex]Final Answer: The simplified expression is
[tex]\begin{gathered} \begin{equation*} 36x^2-81y^2 \end{equation*} \\ \text{ Or } \\ 9\left(4x^2-9y^2\right) \end{gathered}[/tex]