Applying the formula, (a−b)2=a2+b2−2ab (m−1m)2=m2+(1m)2−2m×1m=m2+1m2−2 =>m2+1m2=(m−1m)2+2 Substituting m−1m=5, =>m2+1m2=52+2=25+2=27
Squaring both sides,
(m2+1m2)2=27×27=729
m4+1m4+2×m2×(1m2)=729
m4+1m4+2=729 m4+1m4=727
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