Question
Simplify the following expression:
(814-1)/82×80× (38+1)Solution
a=81 and b =1 (a4-b4) = (a²+b²) (a+b) (a-b) ((81)4 – 14)/82×80× (38+1) = ((81)2 +1) (81+1) (81-1) / 82×80× (38+1) = ((34)2+1) ×82×50 /82×80× (38+1) = (38+1)/ (38+1) =1.
The minimum value of 25 sin2 θ + 16 cos2 θ is
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