Question

How do you simplify `\frac { x ^ { 2} - 25} { x ^ { 2} + 5x } \div \frac { x y + 5y - 5y - 25} { 2x - 8}`?

Answer 1

See explanation.

Explanation:

`(x^2-25)/(x^2+5x)-:(xy+5y-5y-25)/(2x-8)=`

`((x-5)(x+5))/(x(x+5))-:(xy-25)/(2(x-4))=`

`(x-5)/x-:(xy-25)/(2(x-4))=(x-5)/x xx (2(x-4))/(xy-25)=`

`(2(x-4)(x-5))/(x(xy-25))=(2(x^2-9x+20))/(x^2y-25x)=`

`(2x^2-18x+40)/(x^2y-25x)`