6m3 - 16m2 + 15m - 40
Simplify —————————————————————
2m2 + 5
Checking for a perfect cube :
4.1 6m3 - 16m2 + 15m - 40 is not a perfect cube
Trying to factor by pulling out :
4.2 Factoring: 6m3 - 16m2 + 15m - 40
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: -16m2 + 6m3
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: (3m - 8) • (2m2)
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Add up the two groups :
(3m - 8) • (2m2 + 5)
Which is the desired factorization
3m-8 is the answer
