निम्नलिखित व्यंजक को सरल कीजिए। 

[(1 + p)(1 + p2)(1 + p4)(1 + p8)(1 + p16)(1 - p) - 1]

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. -p32
  2. p32
  3. (1 + p32)
  4. (1 - p32)

Answer (Detailed Solution Below)

Option 1 : -p32
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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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प्रयुक्त सूत्र:

(X + Y) × (X - Y) = X2 - Y2

गणना:

[(1 + p)(1 + p2)(1 + p4)(1 + p8)(1 + p16)(1 - p) - 1]

[(1 - p2)(1 + p2)(1 + p4)(1 + p8)(1 + p16) - 1]

[(1 - p4)(1 + p4)(1 + p8)(1 + p16) - 1]

[(1 - p8)(1 + p8)(1 + p16) - 1]

[(1 - p16)(1 + p16) - 1]

[(1 - p32) - 1] = - p32

∴ सही विकल्प 1 है। 

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