Question

I am unable to solve no. a in the given picture plzz help me to figure out its solution

Answer 1

Answer:$\frac{8}{1+x^4}$

Step-by-step explanation:

=$\frac{1-x+1-x}{(1-x)(1+x)} +\frac{2}{1+x^{2} } +\frac{4}{1+x^4} \\\frac{2}{1-x^{2} } +\frac{2}{1+x^{2} } +\frac{4}{1+x^4} \\\frac{2(1-x^{2})+2(1+x^{2} ) }{(1-x^{2})(1+x^2)} +\frac{4}{1+x^4}\\\frac{2-2x^2+2+2x^2}{1-x^4} +\frac{4}{1+x^4} \\\frac{4}{1+x^4} +\frac{4}{1+x^4} \\\frac{4+4}{1+x^4} \\\frac{8}{1+x^4}$