oganesbagoyan

Verified answer

(3x² -7x+2)/(2-6x) =3(x-1/3)(x-2)/(-6(x-1/3)) = (2-x)/2 . * *  * x≠1/3 * * *
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(x+40)/(x³-16x) :((x-4)/(3x² +11x-4) - 16/(16-x²)) =
(x+40)/x(x²-16) :( (x-4)/3(x+4)(x-1/3) +16/(x² -16))=
(x+40)/x(x²-16) :( (x-4)/(x+4)(3x-1) +16/(x² -16))=
(x+40)/x(x²-16) :( ((x-4)² +16(3x-1)) /(x²-16)(3x-1))=
(x+40)/x(x²-16) :( (x²-8x+16 +48x-16) / (x²-16)(3x-1)) =
x+40)/x(x²-16) :( (x² +40x) / (x²-16)(3x-1)) 
(x+40)/x(x²-16) *(x²-16)(3x-1)/(x²+40) = (3x-1)/x   * * * x≠±4 * * *