Answer:
28) (a - 3b)(a + 2b)
29) 7(c - 2b)(c + 16b)
30) ½(a²)(a - 5)(a + 4)
Step-by-step explanation:
1) a² - ab - 6b²
a² - ab + (0.5b)² - 6.25b²
(a - 0.5b)² - (2.5b)²
(a - 0.5b - 2.5b)(a - 0.5b + 2.5b)
(a - 3b)(a + 2b)
7c² + 112bc - 252b²
7(c² + 16bc - 36b²)
7(c² + 16bc + (8b)² - 100b²)
7[(c + 8b)² - 100b²]
7[(c + 8b)²- (10b)²]
7[(c + 8b - 10b)(c + 8b + 10b)]
7(c - 2b)(c + 16b)
a⁴/2 - a³/2 - 10a²
(a²/2)(a² - a - 20)
(a²/2)[a² - a + (½)² - (½)² - 20]
(a²/2)[(a - ½)² - 81/4]
(a²/2)(a - ½ - 9/2)(a - ½ + 9/2)
½(a²)(a - 5)(a + 4)
