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UGC-NET-Paper1

Maths

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Find the value of the expression given below, correct upto 2 decimal places.
[(0.96)^3 - (0.1)^3] / [(0.96)^2+0.096+(0.1)^2]

1. 0.84
2. 0.81
3. 0.86
4. 0.82

नीचे दी गई अभिव्यक्ति का मूल्य खोजें, 2 दशमलव स्थानों तक सही करें।
[(0.96)^3 - (0.1)^3] / [(0.96)^2+0.096+(0.1)^2]

1. 0.84
2. 0.81
3. 0.86
4. 0.82

This Question came in

UGC-NET-Economics-03-January-2025-Shift-2-Q40

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Detailed Explanation & Answer

The expression follows the a³ – b³ identity:
a³ – b³ = (a – b)(a² + ab + b²)

And the denominator looks like a² + ab + b²

So it becomes:

→ [(a³ – b³)] / [a² + ab + b²] = (a – b)(a² + ab + b²)/[a² + ab + b²] = (a – b)

Where:
a = 0.96
b = 0.1

So,
a – b = 0.96 – 0.1 = 0.86

व्यंजक a³ – b³ पहचान का अनुसरण करता है:
a³ – b³ = (a – b)(a² + ab + b²)

और हर a² + ab + b² जैसा दिखता है

तो यह बन जाता है:

→ [(a³ – b³)] / [a² + ab + b²] = (a – b)(a² + ab + b²)/[a² + ab + b²] = (a – b)

जहाँ:
a = 0.96
b = 0.1

तो,
a – b = 0.96 – 0.1 = 0.86

The Correct Answer is 3

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