Question

Hi I need help with this question please thank you!

Answer 1

• The factoring pattern: Difference of two squares (Option A)

,

• The factored form: (a+9)(a-9).

Explanation:

Given the expression:

`a^2-81`

81 is the square of 9, thus, the expression above can be written in the form below.

`=a^2-9^2`

The expression is a difference of two squares.

By the factoring pattern of the difference of two squares:

`\begin{gathered} a^2-b^2=(a+b)(a-b) \\ \implies a^2-9^2=(a+9)(a-9) \end{gathered}`

Thus, we have that:

• The factoring pattern: Difference of two squares (Option A)

,

• The factored form: (a+9)(a-9).