x^2-4x/x^2-16 divided by x^2+2x-24/x^2-2x-24
Inverting the second fraction, we can write this as
[ x^2 - 4x ] / [x ^2 - 16 ] * [ x^2 - 2x - 24 ] / [ x^2 + 2x - 24 ] simplify
[ x (x - 4) ] / [ (x + 4) (x - 4) ] * [ (x - 6) ( x + 4)] / [ (x +6) ( x - 4) ]
[ x / (x + 4) ] * [ (x - 6) ( x + 4) / ( x + 6) ( x - 4) ]
[ x (x - 6)] / [ (x + 6) ( x - 4) ]
[ x^2 - 6x ] / [ x^2 + 2x - 24 ]