Question
Download Solution PDFThe value of \({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)
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.
Last updated on Jul 12, 2025
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