Question

Question 8(Multiple Choice Worth 1 points)

(07.04 LC)
What are the factors of x2 - 81?
O (X + 9)(x -9)
O (X - 9)(x - 9)
(x + 3)(x - 27)
O Prime

Answer 1

(X + 9)(x -9)

Explanation:

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Answer 2

(X + 9)(x -9)

Explanation:

Subtraction of perfect squares:

The factors of a subtraction of perfect squares is given by:

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

What are the factors of x² - 81?

This can be written as:

`x^2 - 81 = (x)^2 - (9)^2`

So

`(x)^2 - (9)^2 = (x - 9)(x+9)`