Factorise $-6m^{3} + 9m^{2} - 12m$.

Factorise $-6m^{3} + 9m^{2} - 12m$.
  1. $-3m(2m^{2} - 3m + 4)$
  2. $3m(2m^{2} - 3m + 4)$
  3. $-3m(2m^{2} + 3m - 4)$
  4. $-m(6m^{2} - 9m + 12)$

Solution

Factor out $-3m$: $-6m^{3}+9m^{2}-12m = -3m(2m^{2}-3m+4)$.

Asked in: IMO

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