Answer:
f=
x2−2x+1
x3+2x2+x
Step-by-step explanation:
Let's solve for f.
fx=
(1−x)2
(1+x)2
Step 1: Multiply both sides by x^2+2x+1.
fx3+2fx2+fx=x2−2x+1
Step 2: Factor out variable f.
f(x3+2x2+x)=x2−2x+1
Step 3: Divide both sides by x^3+2x^2+x.
f(x3+2x2+x)
x3+2x2+x
=
x2−2x+1
x3+2x2+x
f=
x2−2x+1
x3+2x2+x
