Respuesta :
Answer:
-3x6 + 9x5 - 2x4 - 24x3 + 20x2 + 16x - 16
Simplify ——————————————————————————————————————— 3x3 - 3x2 - 4x + 4
STEP
9
:
Pulling out like terms
9.1 Pull out like factors :
-3x6 + 9x5 - 2x4 - 24x3 + 20x2 + 16x - 16 =
-1 • (3x6 - 9x5 + 2x4 + 24x3 - 20x2 - 16x + 16)
Checking for a perfect cube :
9.2 3x3 - 3x2 - 4x + 4 is not a perfect cube
Trying to factor by pulling out :
9.3 Factoring: 3x3 - 3x2 - 4x + 4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -4x + 4
Group 2: 3x3 - 3x2
Pull out from each group separately :
Group 1: (x - 1) • (-4)
Group 2: (x - 1) • (3x2)
--------------------- ---------------
Add up the two groups :
(x - 1) • (3x2 - 4)
Step-by-step explanation:
