How do you simplify the expression #(1/(t-1)+1/(t+1))/(1/t-1/t^2)#?

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Answer 1 · 2018-05-03T17:11:16

# (2t^3)/{(t-1)^2(t+1)}#.

We have, #"The Nr."=1/(t-1)+1/(t+1)#,

#={(t+1)+(t-1)}/{(t-1)(t+1)}#,

#:." The Nr."=(2t)/{(t-1)(t+1)}#.

#"The Dr."=1/t-1/t^2#,

#=(t-1)/t^2#.

#:." The Exp."=(2t)/{(t-1)(t+1)}-:(t-1)/t^2#,

#=(2t)/{(t-1)(t+1)}xxt^2/(t-1)#,

#=(2t^3)/{(t-1)^2(t+1)}#.