The term independent of x in the expansion of \[{{[({{t}^{-1}}-1)x+{{({{t}^{-1}}+1)}^{-1}}{{x}^{-1}}]}^{8}}\] is

\[70{{\left( \frac{1+t}{1-t} \right)}^{4}}\]

\[56{{\left( \frac{1-t}{1+t} \right)}^{3}}\]

\[56{{\left( \frac{1+t}{1-t} \right)}^{3}}\]

\[70{{\left( \frac{1-t}{1+t} \right)}^{4}}\]

The term independent of x in the expansion of \[{{[({{t}^{-1}}-1)x+{{(

1.	The term independent of x in the expansion of \[{{[({{t}^{-1}}-1)x+{{({{t}^{-1}}+1)}^{-1}}{{x}^{-1}}]}^{8}}\] is
A.	\[56{{\left( \frac{1-t}{1+t} \right)}^{3}}\]
B.	\[56{{\left( \frac{1+t}{1-t} \right)}^{3}}\]
C.	\[70{{\left( \frac{1-t}{1+t} \right)}^{4}}\]
D.	\[70{{\left( \frac{1+t}{1-t} \right)}^{4}}\]
Answer» D. \[70{{\left( \frac{1+t}{1-t} \right)}^{4}}\]

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The term independent of x in the expansion of \[{{[({{t}^{-1}}-1)x+{{({{t}^{-1}}+1)}^{-1}}{{x}^{-1}}]}^{8}}\] is

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