The mean proportional of (a + b) (a - b)3, (a + b)3 (a - b) is:

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 4)
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  1. (a + b)2 (a - b)2
  2. (a + b)2 (a - b)
  3. (a + b) (a - b)2
  4. a2 - b2

Answer (Detailed Solution Below)

Option 1 : (a + b)2 (a - b)2
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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: 

First number = (a + b) (a - b)3

Second number = (a + b)3 (a - b)

Formula used:

Mean proportional = √(Product of numbers)

Calculation:

Mean proportional = √{(a + b) × (a - b)3} × {(a + b)3 × (a - b)}

⇒ √{(a + b) × (a - b)2 ×(a - b) × (a + b)2 ×(a + b) × (a - b)}

⇒ √{(a - b)4 × (a + b)4}

⇒ (a - b)2 × (a + b)2

∴ The correct option is 1.

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