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MHT CET20225 Aug 2022Evening ShiftMathematicsTrigonometric EquationsActual

The value of ^2 10^ - 10^ 50^ + ^2 50^

Options

  1. A3 2 + 20^
  2. B3 4 (1+ 20^ )
  3. C3 4
  4. D3 4

Correct answer

D. 3 4

Step-by-step solution

aligned & ^2 10^ - 10^ 50^ + ^2 50^ = ^3 10^ + ^3 50^ 10^ + ^ & = 3 10^ + 30^ 4 + 3 50^ + 150^ 4 10^ + 50^ & [ ^3 ~A = 3 A + 3 ~A 4 ] & = 3 4 ( 10^ + 30^ 3 + 50^ - 30^ 4 ) 10^ + 50^ & = 3 4 ( 10^ + 50^ ) ( 10^ + 50^ ) & = 3 4 & aligned

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