Which polynomial represents a sum of cubes?

x^3 - 64

8x^3 + 125

16x^3 + 1

27x^3 + 4

Question

Mathematics

Amy

10 August, 17:06

Which polynomial represents a sum of cubes?

x^3 - 64

8x^3 + 125

16x^3 + 1

27x^3 + 4

+1

Answers (1)

Know the Answer?

Avery Pope · Answer 1

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).

Which polynomial represents a sum of cubes?x^3 - 648x^3 + 12516x^3 + 127x^3 + 4

Which polynomial represents a sum of cubes?

x^3 - 64

8x^3 + 125

16x^3 + 1

27x^3 + 4