(2x − 5y)2 + (5x + 2y)2 + (2x + 5y)(2x − 5y) सोपे करा.

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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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Detailed Solution

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दिले आहे:

(2x - 5y)2 + (5x + 2y)2 + (2x + 5y)(2x - 5y) सोपे करा.

वापरलेले 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)

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

4x2 - 20xy + 25y2 + 25x2 + 20xy + 4y2 + (4x)2 - 25y2

⇒ 33x2 + 4y2

∴ योग्य उत्तर पर्याय (2) आहे.

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