সরল কর ২ ঘ 2m 3n p 2 2, বীজগণিতিক রাশি, গণিত

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Question:সরল কর:

২.ঘ. (2m + 3n - p)^2 + (2m - 3n + p)^2 - 2(2m + 3n - p) (2m - 3n + p)

Answer মনে করি, 2m + 3n - p = a 2m - 3n + p = b

 :. প্রদত্ত রাশি, 

 `= a^2 + b^2 - 2ab`

 `= (a - b)^2`

  `= {(2m + 3n - p) - (2m - 3n + p)}^2` [a b]

 ` = (2m + 3n - p - 2m + 3n - p)^2`
 
 ` = (6n - 2p)^2`

 ` = (6n)^2 - 2.6n.2p + (2p)^2`

 ` = 36n^2 - 24np + 4p^2`  (Ans)

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shorol karo: ২.gh. (2m + 3n - p)^2 + (2m - 3n + p)^2 - 2(2m + 3n - p) (2m - 3n + p)

Question:সরল কর: ২.ঘ. (2m + 3n - p)^2 + (2m - 3n + p)^2 - 2(2m + 3n - p) (2m - 3n + p)

Answer মনে করি, 2m + 3n - p = a 2m - 3n + p = b :. প্রদত্ত রাশি, `= a^2 + b^2 - 2ab` `= (a - b)^2` `= {(2m + 3n - p) - (2m - 3n + p)}^2` [a b] ` = (2m + 3n - p - 2m + 3n - p)^2` ` = (6n - 2p)^2` ` = (6n)^2 - 2.6n.2p + (2p)^2` ` = 36n^2 - 24np + 4p^2` (Ans)