Question

Fatore completamente:

a) x³ - 2x² + x

b) 5x² - 20x + 20

c) 18ab² - 12ab + 2a

d) - 5p² - 40p - 80

e) ax² - 4ax + 4a

Answer 1

a) 

x³ - 2x² + x
x.(x - 1).(x - 1)
=> x.(x - 1)²

===

b)

5x² - 20x + 20
5 .(x² - 4x + 4)
5.(x - 2).(x - 2)
=> 5 .(x - 2)²

===

c)

18ab² - 12ab + 2a
a.(18b² - 12b + 2)
2a.(9b² - 6b + 1)
2a.(3b - 1).(3b - 1)
=> 2a.(3b - 1)²

===

d)
 
-5p² - 40p - 80
-5.(p² + 8p + 16)
-5.(p + 4)²
-5.(p + 4)(p + 4)
=> -5.(p + 4)²

===

e)

ax² - 4ax + 4a
a.(x² - 4x + 4)
a.(x - 2).(x - 2)
=> a.(x - 2)²