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AP EAMCET20225 Jul 2022Evening ShiftMathematicsTrigonometric EquationsActual

A true statement among the following identities is

Options

  1. A5 =16 ^5 -20 ^3 -5
  2. B5 =20 ^3 -16 ^5 +5
  3. C5 =16 ^5 +20 ^3 -5
  4. D5 =16 ^5 -20 ^3 +5

Correct answer

D. 5 =16 ^5 -20 ^3 +5

Step-by-step solution

5 = (4 + ) aligned & = 4 - 4 & = (2 ^2 2 -1 ) -2 2 2 & = 2 (2 ^2 -1 )^2-1 -4 ^2 2 aligned array r = (8 ^4 +1-8 ^2 ) -4 (1- ^2 ) (2 ^2 -1 ) array aligned & = (8 ^4 +1-8 ^2 ) -4 (3 ^2 -1-2 ^4 ) & =8 ^5 + -8 ^3 -12 ^3 +4 +8 ^5 & =16 ^5 -20 ^3 +5 aligned

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