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Simplify the following polynomials(6x+9y)(6x-9y)

Sagot :

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]

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