Answer:
(3x2 + 1) • (4x - 1)
Step-by-step explanation:
Equation at the end of step 1 :
(((12 • (x3)) - 3x2) + 4x) - 1
Equation at the end of step 2 :
(((22•3x3) - 3x2) + 4x) - 1
Checking for a perfect cube :
12x3-3x2+4x-1 is not a perfect cube
Trying to factor by pulling out :
Factoring: 12x3-3x2+4x-1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 4x-1
Group 2: 12x3-3x2
Pull out from each group separately :
Group 1: (4x-1) • (1)
Group 2: (4x-1) • (3x2)
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Add up the two groups :
(4x-1) • (3x2+1)
Final result :
(3x2 + 1) • (4x - 1)