a4 27a2 1, বীজগণিতিক রাশি, গণিত

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Question:` a^4 - 27a^2 + 1`

Answer `a^4 - 27a^2 + 1 = (a^2)^2 - 2.a^2.1 + (1)^2 - 25a^2`

          ` = (a^2 - 1)^2 - (5a)^2`

           `= {(a^2 - 1) + 5a} {(a^2 - 1) - 5a}`

           `= (a^2 + 5a - 1) (a^2 - 5a - 1)`  (Ans)

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` a^4 - 27a^2 + 1`

Question:` a^4 - 27a^2 + 1`

Answer `a^4 - 27a^2 + 1 = (a^2)^2 - 2.a^2.1 + (1)^2 - 25a^2` ` = (a^2 - 1)^2 - (5a)^2` `= {(a^2 - 1) + 5a} {(a^2 - 1) - 5a}` `= (a^2 + 5a - 1) (a^2 - 5a - 1)` (Ans)