The value of \({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. 776
  2. 62080
  3. 80
  4. 40

Answer (Detailed Solution Below)

Option 1 : 776
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Detailed Solution

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Given:

\({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)

Concept used:

(a + b) = (a3 + b3)/a2 - ab + b2

Calculation:

\({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)

Using (a + b) = (a3 + b3)/a2 - ab + b2

⇒ \(\frac{428^3+348^3}{428^2- 428\times 348 + 348^2}=428+348=776\)

∴ Option 1 is the correct answer.

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