Verified answer

2x²-5x+2= 2x²-4x-x+2= 2x(x-2)-(x-2)= (x-2)(2x-1)

x²-10x+16= x²-2x-8x+16= x(x-2)-8(x-2)= (x-2)(x-8)

(x-2)(2x-1)/(x-2)(x-8)= (2x-1)/(x-8)