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Answer:
STEP
1
:
Equation at the end of step 1
((9x + 1) + (27 • (x2))) + (22•7x3)
STEP
2
:
Equation at the end of step
2
:
((9x + 1) + 33x2) + (22•7x3)
STEP
3
:
Checking for a perfect cube
3.1 28x3+27x2+9x+1 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 28x3+27x2+9x+1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 28x3+1
Group 2: 27x2+9x
Pull out from each group separately :
Group 1: (28x3+1) • (1)
Group 2: (3x+1) • (9x)