( 3х/x-4 - 6x/x^2-8x+16 ) : x-6/16-x^2 + 24X/x-4

Question

( 3х/x-4 - 6x/x^2-8x+16 ) : x-6/16-x^2 + 24X/x-4

Answer 1

3x/(x-4)-6x/(x-4)^2=(3x(x-4)-6x)/(x-4)^2=(3x^2-18x)/(x-4)^2=3x(x-6)/(x-4)^2

3x(x-6)/(x-4)^2*(16-x^2)/(x-6)=3x(4+x)/(4-x)

(3x(4+x)-24x)/(4-x)=-3x