Evaluate
2m^{2}\left(-2m^{3}+3m^{2}-3m-12\right)
Expand
-4m^{5}+6m^{4}-6m^{3}-24m^{2}
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14m^{4}-10m^{3}-24m^{2}-4m\left(m^{4}+2m^{3}-m^{2}\right)
Use the distributive property to multiply 2m^{2} by 7m^{2}-5m-12.
14m^{4}-10m^{3}-24m^{2}-4m^{5}-8m^{4}+4m^{3}
Use the distributive property to multiply -4m by m^{4}+2m^{3}-m^{2}.
6m^{4}-10m^{3}-24m^{2}-4m^{5}+4m^{3}
Combine 14m^{4} and -8m^{4} to get 6m^{4}.
6m^{4}-6m^{3}-24m^{2}-4m^{5}
Combine -10m^{3} and 4m^{3} to get -6m^{3}.
14m^{4}-10m^{3}-24m^{2}-4m\left(m^{4}+2m^{3}-m^{2}\right)
Use the distributive property to multiply 2m^{2} by 7m^{2}-5m-12.
14m^{4}-10m^{3}-24m^{2}-4m^{5}-8m^{4}+4m^{3}
Use the distributive property to multiply -4m by m^{4}+2m^{3}-m^{2}.
6m^{4}-10m^{3}-24m^{2}-4m^{5}+4m^{3}
Combine 14m^{4} and -8m^{4} to get 6m^{4}.
6m^{4}-6m^{3}-24m^{2}-4m^{5}
Combine -10m^{3} and 4m^{3} to get -6m^{3}.
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