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\left(6x^{6}-10x^{2}\right)\left(x^{2}+x+2\right)
Use the distributive property to multiply 2x by 3x^{5}-5x.
6x^{8}+6x^{7}+12x^{6}-10x^{4}-10x^{3}-20x^{2}
Use the distributive property to multiply 6x^{6}-10x^{2} by x^{2}+x+2.
\left(6x^{6}-10x^{2}\right)\left(x^{2}+x+2\right)
Use the distributive property to multiply 2x by 3x^{5}-5x.
6x^{8}+6x^{7}+12x^{6}-10x^{4}-10x^{3}-20x^{2}
Use the distributive property to multiply 6x^{6}-10x^{2} by x^{2}+x+2.