\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\) :

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Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)

Answer 1

প্রদত্ত:

\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)

অনুসৃত ধারণা:

a 3 - b 3 = (a - b)(a 2 + b 2 + ab)

গণনা:

\(\frac{1.6\times1.6\times1.6-0.6\times0.6\times0.6}{1.6\times1.6+1.6\times0.6+0.6\times0.6}\)

⇒ \(\frac{1.6^3-0.6^3}{1.6^2+1.6\times0.6+0.6^2}\)

\(\frac{(1.6-0.6)(1.6^2+1.6\times0.6+0.6^2)}{1.6^2+1.6\times0.6+0.6^2}\)

⇒ 1.6 - 0.6

⇒ 1

∴ নির্ণেয় উত্তর হল 1