Question

What is the simplified form of `(9x^2 - 25)/(3x+5)`?

Answer 1

`3x-5`

Explanation:

In general
`color(white)("XXX")a^2-b^2` can be factored as `(a+b)(a-b)`

`9x^2-25 = (3x)^2-(5)^2`

Treating `(3x)` as `a` in the general form, and `(5)` as `b`
`color(white)("XXX")9x^2-25=(3x+5)(3x-5)`

Therefore
`color(white)("XXX")(9x^2-25)/(3x+5) = (cancel((3x+5))(3x-5))/(cancel((3x+5)))=3x-5`