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Anil Singh

· started a discussion

· 1 Months ago

shortcut (Question: 109774.0 )

write x^4+1/x^4 as (x^2+1/x^2)^2 -1 then apply a^2-b^2
easily u will get option c as answer

Question:
\(\cfrac{\left ( 1\cfrac {1}{3} \right )^4 +{\left ( 1\cfrac {1}{3} \right )^{-4}+1}}{{\left ( 1\cfrac {1}{3} \right )^2}+{\left ( 1\cfrac {1}{3} \right )^{-2}+1}} =\)  ?
Options:
A) -1
B) 1
C) \(\cfrac{193}{144}\)
D) \(\cfrac{481}{144}\)
Solution:
Ans:(c) 


We know,

A4 + B4 + A2B2 = (A2 + B2 - AB) x (A2 + B2 + AB)

\(\therefore\) Given expression


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