Question

How do you factor the trinomial `9t^2 - 25`?

Answer 1

`9t^2-25=(3t+5)(3t-5)`

Explanation:

`9t^2-25` is an example of the difference of squares, `(a^2-b^2)=(a+b)(a-b)`, where `a=3t and b=5`.

Rewrite.

`(3t)^2-5^2`

Factor.

`(3t+5)(3t-5)`