64x3 + 38x2y + 20xy2 + y3 का मान कितना है, जब x = 3 और y = - 4 है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)
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  1. 1236
  2. 488
  3. 536
  4. 1256

Answer (Detailed Solution Below)

Option 4 : 1256
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दिया गया है

64x3 + 38x2y + 20xy2 + y3

x = 3 और y = - 4

प्रयुक्त सूत्र

(a + b)3 = a3 + b3 + 3ab(a + b)

गणना:

64x3 + 38x2y + 20xy2 + y3 = (4x + y)3 - 10x2y + 8xy2

⇒ (4x + y)3 - 10x2y + 8xy2 = (12 - 4)3 - 10(3)2(- 4) + 8(3)(- 4)2

⇒ 83 + 360 + 384

⇒ 1256

व्यंजक का मान 1256 है।

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