QuestionFactor completely. $9-s^{2}$

Studdy Solution

STEP 1

1. The expression $9 - s^2$ is a difference of squares.
2. The difference of squares formula can be applied to factor the expression.

STEP 2

1. Identify the structure of a difference of squares.
2. Apply the difference of squares formula to factor the expression.

STEP 3

Recognize that the expression $9 - s^2$ is a difference of squares. It can be written in the form $a^2 - b^2$ , where $a^2 = 9$ and $b^2 = s^2$ .
$9 = 3^2 \quad \text{and} \quad s^2 = s^2$
Thus, the expression can be rewritten as:
$3^2 - s^2$

STEP 4

Apply the difference of squares formula, which states that $a^2 - b^2 = (a - b)(a + b)$ .
For the expression $3^2 - s^2$ , let $a = 3$ and $b = s$ .
$(3 - s)(3 + s)$
The completely factored form of the expression is:
$\boxed{(3 - s)(3 + s)}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms