కింది వాటిని సరళీకృతం చేయండి.

\(\frac{0.01 \times 0.01 \times 0.01 +0.003 \times 0.003 \times 0.003}{0.05 \times 0.05 - 0.015 \times 0.05+0.015 \times 0.015}\)

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Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)

Answer 1

ఇచ్చినది

\(\frac{0.01 × 0.01 × 0.01 +0.003 × 0.003 × 0.003}{0.05 × 0.05 - 0.015 × 0.05+0.015 × 0.015}\)

ఉపయోగించబడిన సూత్రం

a ³ + b ³ = (a + b)(a ² - ab + b ² )

గణన

⇒ (0.01 ³ + 0.003 ³ )/25 (0.01 2 - 0.01 x 0.003 + 0.003 2 )

⇒ (0.01 + 0.003)/25

⇒ 13/25 x 10 - 3

విలువ 13/25 x 10 ^-3

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