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9m^{2}+18m-3\left(m^{2}+4m+1\right)
Use the distributive property to multiply 3m by 3m+6.
9m^{2}+18m-3m^{2}-12m-3
Use the distributive property to multiply -3 by m^{2}+4m+1.
6m^{2}+18m-12m-3
Combine 9m^{2} and -3m^{2} to get 6m^{2}.
6m^{2}+6m-3
Combine 18m and -12m to get 6m.
9m^{2}+18m-3\left(m^{2}+4m+1\right)
Use the distributive property to multiply 3m by 3m+6.
9m^{2}+18m-3m^{2}-12m-3
Use the distributive property to multiply -3 by m^{2}+4m+1.
6m^{2}+18m-12m-3
Combine 9m^{2} and -3m^{2} to get 6m^{2}.
6m^{2}+6m-3
Combine 18m and -12m to get 6m.