question_answer

If \[ab{{x}^{2}}={{(a-b)}^{2}}\,\,(x+1),\] then the value of  \[1+\frac{4}{x}+\frac{4}{{{x}^{2}}}\] is:

A)  \[{{\left( \frac{a-b}{a+b} \right)}^{2}}\]                      

B)  \[{{\left( \frac{a+b}{a-b} \right)}^{2}}\]

C)  \[{{\left( \frac{a}{a+b} \right)}^{2}}\]             

D)  \[{{\left( \frac{b}{a+b} \right)}^{2}}\]

E)  None of these