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11\left(8c^{3}+96c^{2}+384c+512\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2c+8\right)^{3}.
88c^{3}+1056c^{2}+4224c+5632
Use the distributive property to multiply 11 by 8c^{3}+96c^{2}+384c+512.
11\left(8c^{3}+96c^{2}+384c+512\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2c+8\right)^{3}.
88c^{3}+1056c^{2}+4224c+5632
Use the distributive property to multiply 11 by 8c^{3}+96c^{2}+384c+512.