Question

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

Answer 1

Given: The following polynomial expression

`(6x+9y)(6x-9y)`

Required: To simplify the given polynomial expression.

Explanation: The following identity will be used

`(a+b)(a-b)=a^2-b^2`

Hence,

`\begin{gathered} (6x+9y)(6x-9y)=(6x)^2-(9y)^2 \\ =36x^2-81y^2 \end{gathered}`

Or, we can write it as follows

`=9(4x^2-9y^2)`

Final Answer: The simplified expression is

`\begin{gathered} \begin{equation*} 36x^2-81y^2 \end{equation*} \\ \text{ Or } \\ 9\left(4x^2-9y^2\right) \end{gathered}`