64x3 + 36x2y + 24xy2 + 2y3 का मान क्या है, जब x = 3 और y = -4 है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 4)
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  1. 304
  2. 1456
  3. 1584
  4. 432

Answer (Detailed Solution Below)

Option 2 : 1456
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Detailed Solution

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प्रयुक्त सूत्र:

(A + B)3 = A3 + 3A2B + 3 AB2 + B3

गणना:

64x3 + 36x2y + 24xy2 + 2y

⇒ 64x3 + 48 x2y + 12xy2 + y3 - 12x2y + 12xy2 + y3

⇒(4x + y)3 + y- 12xy(x - y)

⇒ (4 × 3 - 4)3 + (-4)3 - 12(3)(-4)[3 - (-4)]

⇒ 512 - 64 + 1008 = 1456

∴ सही विकल्प 2 है।

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