Question

例：由27÷5=5...2 即27/5=5+2/5可以想到：(x^2-3x+2)÷(x+9)=x+2...110 即(x

Answer 1

(x^2+2x+3)/(x+1)-(x^2-x+8)/(x-2)

=(x^2+2x+1+2)/(x+1)-(x^2-x-2+10)/(x-2)

=[(x+1)^2+2]/(x+1)-[(x-2)(x+1)+10]/(x-2)

=x+1+2/(x+1)-(x+1)-10/(x-2)

=2/(x+1)-10/(x-2)

=(2x-4-10x-10)/(x+1)(x-2)

=(-8x-14)/(x+1)(x-2)