Cho biểu thức: P=x-1/2:(x^2+2/x^3-1+x/x^2+x+1+1/1-x) .Rút gọn P

P=x−12:x2+2x3−1+xx2+x+1+11−xDK:x≠1

P=x−12:x2+2x−1x2+x+1+xx2+x+1+11−x

P=x−12:x2+2x−1x2+x+1+xx−1x−1x2+x+1−x2+x+1x−1x2+x+1

=x−12:x2+2+x2−x−x2−x−1x−1x2+x+1

=x−12:x2−2x+1x−1x2+x+1

=x−12:x−12x−1x2+x+1

=x−12:x−1x2+x+1=x−12.x2+x+1x−1

=x2+x+12