Question:a = 7 এবং b = -5 হলে, `(3a - 5b)^3 + (4b - 2a)^3 + 3(a - b) (3a - 5b) (4b - 2a)` এর মান কত? 

Answer দেওয়া আছে, a = 7, b = -5

 মনে করি,  3a - 5b = p এবং 4b - 2a = q

   :. p + q = 3a - 5b + 4b - 2a = a - b

 প্রদত্ত রাশি, 

  `= (3a - 5b)^3 + (4b - 2a)^3 + 3(a - b) (3a - 5b) (4b - 2a)`

  `= p^3 + q^3 + 3 (p + q) pq`

  `= (p + q)^3`

  `= (a - b)^3;` [:. p + q = a - b]

  `= {7 - (-5)}^3` [মান বসিয়ে]

  `=  (7 + 5)^3`

  `= (12)^3`

  `= 1728`  (Ans) 

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