If x = 255, y = 256, z = 257, then find the value of x3 + y3 + z3 – 3xyz.
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Correct answer: D
Explanation
The correct answer is option 4 i.e 2304
We know that
⇒ x3 + y3 + z3 – 3xyz = (x+y+z)(x2+y2+z2−xy−yz−zx)
⇒ (255 + 256 + 257)(2552 + 2562 + 2572 - 255 × 256 - 256 × 257 - 255 × 257)
⇒ (768)(3)
⇒ (768)(3) = 2304