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\left(12u^{3}-24u^{2}+9u-18\right)u^{5}
Use the distributive property to multiply 4u^{2}+3 by 3u-6.
12u^{8}-24u^{7}+9u^{6}-18u^{5}
Use the distributive property to multiply 12u^{3}-24u^{2}+9u-18 by u^{5}.
\left(12u^{3}-24u^{2}+9u-18\right)u^{5}
Use the distributive property to multiply 4u^{2}+3 by 3u-6.
12u^{8}-24u^{7}+9u^{6}-18u^{5}
Use the distributive property to multiply 12u^{3}-24u^{2}+9u-18 by u^{5}.