Question

How do you simplify `(y²-25) / (3y-7)`?

Answer 1

`(y^2-25)/(3y-7)=((y+5)(y-5))/(3y-7)`

Explanation:

`(y^2-25)/(3y-7)`

Rewrite `25` as `5^2`.

`(y^2-5^2)/(3y-7)`

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

`((y+5)(y-5))/(3y-7)`