If x + y = 25 and xy = 20, then find the value of x3 + y3.

This question was previously asked in
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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Detailed Solution

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Given:- 

x + y = 25 and xy = 20

Formula used:-

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

Calculation:- 

 253 = x3 + y3 + 3 × 20×25   

⇒ 
15625 = x3 + y3 + 1500  

   x3 + y3 = 15625 − 1500 = 14125 

∴ The required answer is 14125.
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