यदि x + y = 25 और xy = 20, तब x+ y3 का मान ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)
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  1. 13152
  2. 13125
  3. 14125
  4. 14152

Answer (Detailed Solution Below)

Option 3 : 14125
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दिया गया है:- 

x + y = 25 and xy = 20

प्रयुक्त अवधारणा:-

(x + y)= x3 + y3 + 3xy(x + y)

गणना:- 

 253 = x3 + y3 + 3 × 20×25   

⇒ 
15625 = x3 + y3 + 1500  

   x3 + y3 = 15625 − 1500 = 14125 

∴ अभीष्ट उत्तर 14125 है।
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