Rút gọn phân thức F=(b-c)^3+(c-a)^3+(a-b)^3/a^2(b-c)+b^2(c-a)+c^2(a-b)
Giải thích
F=b−c3+c−a3+a−b3a2b−c+b2c−a+c2a−bMau=a2b−c+b2c−a+c2a−b=a2b−c+b2c−b2a+ac2−bc2=a2b−c+bcb−c−ab2−c2=b−caa−b−ca−b=b−ca−ca−b⇒F=b−c3+c−a3+a−b3−a−bb−cc−a
F=b−c3+c−a3+a−b3a2b−c+b2c−a+c2a−bMau=a2b−c+b2c−a+c2a−b=a2b−c+b2c−b2a+ac2−bc2=a2b−c+bcb−c−ab2−c2=b−caa−b−ca−b=b−ca−ca−b⇒F=b−c3+c−a3+a−b3−a−bb−cc−a