Answer:
see explanation
Explanation:
(28)
2x³ - 32x ← factor out 2x from each term
= 2x(x² - 16) ← difference of squares
= 2x(x - 4)(x + 4)
(29)
3x² + 6x + 3 ← factor out 3 from each term
= 3(x² + 2x + 1) ← perfect square
= 3(x + 1)²
(30)
- 81 ← difference of squares
= (x² - 9)(x² + 9) ← (x² - 9) is also a difference of squares
= (x - 3)(x + 3)(x² + 9)
(31)
5
- 15
+ 10x³ ← factor out 5x³ from each term
= 5x³(x² - 3x + 2)
= 5x³(x - 1)(x - 2)