Question:`a - 1/a = m` হলে দেখাও যে, `a^4 + 1/a^4 = m^4 + 4m^2 + 2`
Answer দেওয়া আছে, `a - 1/a = m` বামপক্ষ = `a^4 + 1/a^4` `= (a^2)^2 + (1/a^2)^2` `= (a^2 + 1/a^2) - 2. a^2. 1/a^2` `= {(a - 1/a)^2 + 2. a. 1/a}^2 - 2` `= (m^2 + 2)^2 - 2` [মান বসিয়ে] `= (m^2)^2 + 2. m^2. 2 + (2)^2 - 2` `= m^4 + 4m^2 + 4 - 2` `= m^4 + 4m^2 + 2` = ডানপক্ষ :. `a^4 + 1/a^4 = m^4 + 4m^2 + 2`
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`a - 1/a = m` hole dekhao je, `a^4 + 1/a^4 = m^4 + 4m^2 + 2`