Answer:
• The factoring pattern: Difference of two squares (Option A)
,
• The factored form: (a+9)(a-9).
Explanation:
Given the expression:
[tex]a^2-81[/tex]
81 is the square of 9, thus, the expression above can be written in the form below.
[tex]=a^2-9^2[/tex]
The expression is a difference of two squares.
By the factoring pattern of the difference of two squares:
[tex]\begin{gathered} a^2-b^2=(a+b)(a-b) \\ \implies a^2-9^2=(a+9)(a-9) \end{gathered}[/tex]
Thus, we have that:
• The factoring pattern: Difference of two squares (Option A)
,
• The factored form: (a+9)(a-9).
