Rút gọn các phân thức sau: c) ( x^2-1)^2/ ( x+1)( x^3+1).
Giải thích
c, (x2−1)2(x+1)(x3+1)=(x2−1)(x2−1)(x+1)(x+1)(x2−x+1)
=(x−1)(x+1)(x−1)(x+1)(x+1)(x+1)(x2−x+1)=(x−1)2x2−x+1
c, (x2−1)2(x+1)(x3+1)=(x2−1)(x2−1)(x+1)(x+1)(x2−x+1)
=(x−1)(x+1)(x−1)(x+1)(x+1)(x+1)(x2−x+1)=(x−1)2x2−x+1