निम्नलिखित को सरल कीजिए।

\(\frac{762\times762\times762+316\times316\times316}{762\times762-762\times316+316\times316}\)

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)
View all SSC CGL Papers >
  1. 1064
  2. 1056
  3. 1042
  4. 1078

Answer (Detailed Solution Below)

Option 4 : 1078
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Detailed Solution

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दिया गया है:

\(\frac{762\times762\times762+316\times316\times316}{762\times762-762\times316+316\times316}\)

प्रयुक्त सूत्र:

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

गणना:

\(\frac{762\times762\times762+316\times316\times316}{762\times762-762\times316+316\times316}\)

⇒ \(\frac{762^3+316^3}{762^2-762\times316+316^2}\)

⇒ \(\frac{(762+316)(762^2-762\times316+316^2)}{762^2-762\times316+316^2}\)

⇒ 762 + 316

⇒ 1078

∴ अभीष्ट उत्तर 1078 है।

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