Question

State whether each expressions is a sum pr difference of two cubes:

1. x^3 - 1/8
2. x^6y^3 + z^9
3. 3x^3 -1
4. 27x^15 + y^4

Answer 1

Expressions (x^3 - 1) and (27x^15 + y^4) are a difference and sum of two cubes, respectively.

Step-by-step explanation:

Expressions as Sum or Difference of Two Cubes:

x^3 - 1 is a difference of two cubes because it can be written as (x - 1)(x^2 + x + 1).

x^6y^3 + z^9 is not a sum or difference of two cubes.

3x^3 - 1 is not a sum or difference of two cubes.

27x^15 + y^4 is a sum of two cubes because it can be written as (3x^5)^3 + (y^2)^3.