Question

How do you multiply and simplify `\frac { y ^ { 2} - 9y } { y ^ { 2} - 25} \cdot \frac { y + 5} { y - 9}`?

Answer 1

I got: `y/(y-5)`

Explanation:

You can write it expanding the numerator and denominator of the first fraction:

`(y(y-9))/((y+5)(y-5))*(y+5)/(y-9)=`

simplify:

`(ycancel((y-9)))/(cancel((y+5))(y-5))*cancel((y+5))/cancel((y-9))=y/(y-5)`