பின்வரும் கோவையை எளிமைப்படுத்து:

\(\frac{(8.25)^3-3 \times(8.25)^2 \times 0.25+24.75 \times(0.25)^2-(0.25)^3}{4 \times 4 \times 4}\)

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 21 Jun, 2024 Shift 3)
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  1. 6
  2. 4
  3. 2
  4. 8

Answer (Detailed Solution Below)

Option 4 : 8
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கொடுக்கப்பட்டது:

பின்வரும் கோவையை எளிமைப்படுத்து:

\(\dfrac{(8.25)^3-3 \times(8.25)^2 \times 0.25+24.75 \times(0.25)^2-(0.25)^3}{4 \times 4 \times 4}\)

பயன்படுத்தப்பட்ட சூத்திரம்:

(a - b)3 = a3 - 3a2b + 3ab2 - b3

கணக்கீடு:

\(\dfrac{(8.25)^3-3 \times(8.25)^2 \times 0.25+24.75 \times(0.25)^2-(0.25)^3}{4 \times 4 \times 4}\)

a = 8.25 மற்றும் b = 0.25 என்க

⇒ a3 - 3a2b + 3ab2 - b3 = (8.25 - 0.25)3

(8.25 - 0.25)3 = 83

⇒ 83 = 512

\(\dfrac{512}{4 \times 4 \times 4}\)

\(\dfrac{512}{64}\)

⇒ 8

∴ சரியான விடை விருப்பம் (4).

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