(13)3 + (- 8)3 + (- 5)का मान ज्ञात कीजिए।

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RRB NTPC CBT 2 (Level-2) Official Paper (Held On: 13 June 2022 Shift 2)
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  1. -40 × 41
  2. 39 × 40
  3. -39 × 40
  4. 41 × 38

Answer (Detailed Solution Below)

Option 2 : 39 × 40
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Detailed Solution

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दिया गया है: 

(13)3 + (- 8)3 + (- 5)3

प्रयुक्त अवधारणा:

A3 - B3 = (A - B) (A2 + AB + B2)

(-A)3 = -A3

गणना:

(13)3 + (- 8)3 + (- 5)3

⇒ (133 - 83) - 53

⇒ (13 - 8) (132 + 13 × 8 + 82) - 125

⇒ 5 × (169 + 104 + 64) - 125

⇒ 5 × 337 - 125

⇒ 5 × (337 - 25)

⇒ 5 × 312

⇒ 40 × 39

⇒ 39 × 40

(13)3 + (- 8)3 + (- 5)3 का मान 39 × 40 है।

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