(a + b) (a - b) 3 , (a + b) 3 (a - b) എന്നിവയുടെ മാധ്യ അനുപാതം ഇതാണ് :

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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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Detailed Solution

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നൽകിയിരിക്കുന്നത്:

ആദ്യ സംഖ്യ = (a + b) (a - b) 3

രണ്ടാമത്തെ സംഖ്യ = (a + b) 3 (a - b)

ഉപയോഗിച്ച സൂത്രവാക്യം:

മാധ്യ ആനുപാതികം/ അനുപാതം  = √(സംഖ്യകളുടെ ഗുണനഫലം)

കണക്കുകൂട്ടല്‍:

മാധ്യ ആനുപാതികം = √{ (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

∴ ശരിയായ ഓപ്ഷൻ 1 ആണ്.

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