(a - b) = 3 மற்றும் ab = 70 எனில், (a3 - b3) இன் மதிப்பைக் காண்க.

  1. 657
  2. 783
  3. 840
  4. 580

Answer (Detailed Solution Below)

Option 1 : 657
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Detailed Solution

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கொடுக்கப்பட்டது:

(a - b) = 3 மற்றும் ab = 70

சூத்திரம்:

a3 - b3 = (a - b)3 + 3ab(a - b)

கணக்கீடு:

a3 - b3 = (a - b)3 + 3ab(a - b)

⇒ a3 - b3 = 33 + 3 × 70 × 3

⇒ a3 - b3 = 27 + 630

∴ a3 - b3 = 657

சாமர்த்தியமான தந்திரம்

a = 10 மற்றும் b = 7 என எடுத்துக் கொள்ளவும் [(a - b) = 10 - 7 = 3 மற்றும் ab = 10 × 7 = 70]

∴ a3 - b3 = 103 - 73 = 1000 - 343 = 657.

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