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MHT CET202122 Sep 2021Evening ShiftMathematicsTrigonometric EquationsActual

If 2 =x+ 1 x , then 2 3 =

Options

  1. Ax^3- 1 x^3
  2. B( x + 1 x )^3
  3. Cx+ 1 x
  4. Dx^3+ 1 x^3

Correct answer

D. x^3+ 1 x^3

Step-by-step solution

aligned & We have = 1 2 (x+ 1 x ) & 2 3 & =2 [4 ^3 -3 ]=2 4 [ ( 1 2 ) (x+ 1 x ) ]^3- [3 ( 1 2 ) (x+ 1 x ) ] & =2 [ ( 1 2 ) (x^3+ 1 x^3 )+3 (x+ 1 x ) ]-3 (x+ 1 x )=x^3+ 1 x^3 aligned

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