Simplify: frac11−x+frac11+x+frac21+x2+frac41+x4\\frac{1}{1-x} + \\frac{1}{1+x} + \\frac{2}{1+x^2} + \\frac{4}{1+x^4}frac11−x+frac11+x+frac21+x2+frac41+x4 (assume all denominators non-zero).
frac81−x8\\frac{8}{1-x^8}frac81−x8
frac41−x4\\frac{4}{1-x^4}frac41−x4
frac21−x2\\frac{2}{1-x^2}frac21−x2
444