Key steps Factor: x4+2x2+1=(x2+1)2x^4+2x^2+1=(x^2+1)^2x4+2x2+1=(x2+1)2. If improper, divide to get a proper fraction. For (x2+1)2(x^2+1)^2(x2+1)2, use: Ax+Bx2+1+Cx+D(x2+1)2\frac{Ax+B}{x^2+1}+\frac{Cx+D}{(x^2+1)^2}x2+1Ax+B+(x2+1)2Cx+D