Question

How do you multiply and simplify `\frac { x ^ { 2} - 5x - 24} { ( x - 3) ^ { 2} } \cdot \frac { x - 3} { x - 8}`?

Answer 1

`(x^2-5x-24)/((x-3)^2)*(x-3)/(x-8)=(x-5)/(x-3)`

Explanation:

`(x^2-5x-24)/((x-3)^2)*(x-3)/(x-8)`

`x^2-5x-24=(x-8)(x+3)`

`(cancel((x-8))(x-5))/(cancel((x-3)^2))*cancel((x-3))/cancel((x-8))`

`(x-5)/(x-3)`