1. 6k² - 66
Factor out the common factor:
6(k² - 11)
2. 6w⁴ - 10w³ + 2w
Factor out the common factor:
2w(3w³ - 5w² + 1)
3. 11x² - 165x
Factor out the common factor:
11x(x - 15)
4. 4p² - 32p
Factor out the common factor:
4p(p - 8)
5. 2x² - 8x
Factor out the common factor:
2x(x - 4)
6. 8x³ + 27
This is a sum of cubes:
(2x + 3)(4x² - 6x + 9)
7. 64x³ + 1
This is also a sum of cubes:
(4x + 1)(16x² - 4x + 1)
8. M³ + 8n³
This is a sum of cubes:
(M + 2n)(M² - 2Mn + 4n²)
9. m³ + 64n³
Another sum of cubes:
(m + 4n)(m² - 4mn + 16n²)
10. x³ - 216y³
This is a difference of cubes:
(x - 6y)(x² + 6xy + 36y²)