Question

Usando a propriedade de agrupamento fatore:
a) a³ - a

b) 12x³ - 3xy²

c) a²b -b³

d)a³ - 9a

Answer 1

a)
= a³ - a
= a.(a² - 1)
= a.(a + 1).(a - 1)


¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b)
= 12x³ - 3xy²
= 3x.(4x² - y²)
= 3x.(2x + y).(2x - y)

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)
= a²b - b³
= b.(a² - b²)
= b.(a + b).(a - b)

d)
= a³ - 9a
= a.(a² - 9)
= a.(a + 3).(a - 3)