Simplify : \(\rm \frac{0.728 \times 0.728-0.272 \times 0.272}{0.456}\)

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  1. 0.456
  2. 1
  3. 0.728
  4. 0.272

Answer (Detailed Solution Below)

Option 2 : 1
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Detailed Solution

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Given:

Simplify: (0.728 × 0.728 - 0.272 × 0.272) / 0.456

Formula used:

(a2 - b2) = (a + b)(a - b)

Calculation:

(0.728 × 0.728 - 0.272 × 0.272) / 0.456

⇒ (0.7282 - 0.2722) / 0.456

⇒ ((0.728 + 0.272) × (0.728 - 0.272)) / 0.456

⇒ (1.0 × 0.456) / 0.456

⇒ 0.456 / 0.456

⇒ 1

∴ The correct answer is option (2).

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