If b = 5, determine the value of an expression \(({5 \over b} + 5b)\) \(({25 \over b^2} - 25 + 25b^2)\) using an identity.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. 25726
  2. 15626
  3. 15438
  4. 25636

Answer (Detailed Solution Below)

Option 2 : 15626
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Given:-

b = 5

Formula used:-

A3 + B3 =(A + B) (A2 + B2 - AB)

Calculation:-

(5/b + 5b)(25/b2 - 25 +25b2

⇒ (5/b)3 + (5b)3
 

Put the value of "b" in the above equation

⇒ (5/5)3 + (5 × 5)3 

⇒ 1 + (25)3  

⇒ 1 + 15625 = 15626    

∴ The required answer is 15626.
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