kevman2991 kevman2991
  • 07-04-2019
  • Mathematics
contestada

Which polynomial represents a sum of cubes?

x^3 - 64

8x^3 + 125

16x^3 + 1

27x^3 + 4

Respuesta :

altavistard
altavistard altavistard
  • 07-04-2019

Answer:

8x³ + 125

Step-by-step explanation:

Cubes:  look for the exponent 3 and for perfect cubes such as 1, 8, 27, ...

8x^3 + 125 is a sum, and 8 is a perfect cube (the cube of 2), and x^3 is a cube, and 125 is a cube.

Thus, the correct answer is 8x^3 + 125 (which is equivalent to

(2x)³ + 5³).

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