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1. X+Y+Z=0

  • A. 3XYZ
  • B. 3XYZ
  • C. 3XYZ
  • D. 3XYZ

Answer: Option D

Explanation:

দেওয়া আছে , x + y + z = 0 ........ (i)

∴(1/3) (x3 + y3 + z3)

= (1/3)(x3 + y + z3 – 3xyz) + xyz

= (1/3){(x + y + z) (x2 + y2 + z2 - xy - yz - zx)} + xyz

= (1/3){0x(x2 + y2 + 22 - xy - yz - zx)} + xyz [(i) নং হতে]

= 0 + xyz

= xyz


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