f(x+1)=x^2-2x
=(x+1)²-4x-1
=(x+1)²-4(x+1)+3
所以f(2x+1)=(2x+1)²-4(2x+1)+3
=4x²+4x+1-8x-4+3
=4x²-4x
f(x+1) = (x-2)x
f(x) = (x-1)(x-3)
f(2x+1) = (2x-1)(2x-3) = 4x^2 -8x+3
f(x+1)=(x+1)^2-4(x+1)+3
f(x)=x^2-4x+3
f(2x+1)=(2x+1)^2-4(2x+1)+3=4x^2-4x