## noseboy908 one year ago Need help factoring a few denominators. (Link to screenshot below)

1. noseboy908
2. tkhunny

You should not be struggling with the application of the Distributive Property. a(b+c) = ab + ac With only two terms, this is very commonly the case. x^2 + 3x = x(x+3) -- Done. You will have to memorize a few patterns. One of the most important is a "Difference of Squared" (a^2 - b^2) = (a+b)(a-b) That is all you need for those denominators.

3. noseboy908

How do those apply to the first denominator? It falls under neither category, as I can understand what you're saying.

4. freckles

difference of squares is the suggestion he made for the first denominator

5. freckles

$x^2-4 \text{ notice this can be written as } x^2-2^2$ try to use the last formula he wrote to factor this

6. noseboy908

Ah, yes, so it'd become (x-2)(x+2).

7. freckles

correct

8. noseboy908

Alright then, thank you @freckles and @tkhunny.