Question

Expand the following (x+3)(x-3)

Answer 1

x² - 9

Explanation:

`(x + 3)(x - 3)`

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

`x(x - 3) + 3(x - 3)`

Calculate the product

`{x}^(2) - 3x + 3x - 3 * 3`

Multiply the numbers

`{x}^(2) - 3x + 3x - 9`

Since two opposites add up to zero, remove them from the expression

`{x}^(2) - 9`

Hope this helps..

Best regards!!

Answer 2

x² - 9

Explanation:

Given

(x + 3)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 3(x - 3) ← distribute both parenthesis

= x² - 3x + 3x - 9 ← collect like terms

= x² - 9