(2x - 5y)² + (5x + 2y)² + (2x + 5y)(2x - 5y) को सरल कीजिए।

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 1)
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  1. 34x² - 4y²
  2. 33x² + 4y²
  3. -34x² + 4y²
  4. -33x² - 4y²

Answer (Detailed Solution Below)

Option 2 : 33x² + 4y²
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दिया गया है:

(2x - 5y)² + (5x + 2y)² + (2x + 5y)(2x - 5y) को सरल करना है।

प्रयुक्त सूत्र:

(a - b)² = a² - 2ab + b²

(a + b)² = a² + 2ab + b²

(a + b)(a - b) = a² - b²

गणना:

(2x - 5y)² + (5x + 2y)² + (2x + 5y)(2x - 5y)

⇒ 4x² - 20xy + 25y² + 25x² + 20xy + 4y² + 4x² - 25y²

⇒ 33x² + 4y²

इसलिए, सही उत्तर विकल्प (2) है।

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