1. a³ + b³ + c³ - 3abc

2. a¹⁰ + a⁵ + 1

3. a⁸ + a + 1

4. a⁸ + a⁷ + 1

5. a¹⁶ + a⁸b⁸ + b¹⁶

6. (a + 1)(a + 3)(a + 5)(a + 7) + 15

7. 4x²y² (2x + y) + y²z² ( z - y) + x²z² ( 2x + z)

8. be ( a + b)(b - c) - ac(b + d)(a - c) + ab(c + d(a - b)

9. (x - y)³ + (y - z)³ + (z - x)³

10. x⁴ + 6x³ + 7x² - 6x + 1