Question:`m + 1/m = 2` হলে প্রমাণ কর যে, `m^4 + 1/m^4 = 2` 

Answer দেওয়া আছে, 

       `m + 1/m = 2`

  এখন বামপক্ষ `= m^4 + 1/m^4`

                  `= (m^2)^2 + (1/m^2)^2`

                  `= (m^2 + 1/m^2)^2 - 2. m^2. 1/m^2`

                  `= {(m + 1/m)^2 - 2. m. 1/m}^2 - 2`

                  `= {(2)^2 - 2}^2 - 2`  [মান বসিয়ে]

                  `= (4 - 2)^2 - 2`

                  `= (2)^2 - 2`

                  `= 4 - 2`

                    = 2

                    = ডানপক্ষ

          :. `m^4 + 1/m^4 = 2` 

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