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\left(x^{2}-3x+1\right)\left(-2\right)^{3}\left(x^{2}\right)^{3}
Expand \left(-2x^{2}\right)^{3}.
\left(x^{2}-3x+1\right)\left(-2\right)^{3}x^{6}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
\left(x^{2}-3x+1\right)\left(-8\right)x^{6}
Calculate -2 to the power of 3 and get -8.
\left(-8x^{2}+24x-8\right)x^{6}
Use the distributive property to multiply x^{2}-3x+1 by -8.
-8x^{8}+24x^{7}-8x^{6}
Use the distributive property to multiply -8x^{2}+24x-8 by x^{6}.
\left(x^{2}-3x+1\right)\left(-2\right)^{3}\left(x^{2}\right)^{3}
Expand \left(-2x^{2}\right)^{3}.
\left(x^{2}-3x+1\right)\left(-2\right)^{3}x^{6}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
\left(x^{2}-3x+1\right)\left(-8\right)x^{6}
Calculate -2 to the power of 3 and get -8.
\left(-8x^{2}+24x-8\right)x^{6}
Use the distributive property to multiply x^{2}-3x+1 by -8.
-8x^{8}+24x^{7}-8x^{6}
Use the distributive property to multiply -8x^{2}+24x-8 by x^{6}.