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\left(8x^{3}-12x^{2}+6x-1\right)^{2}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
64x^{6}-192x^{5}+240x^{4}-160x^{3}+60x^{2}-12x+1
Square 8x^{3}-12x^{2}+6x-1.
\left(8x^{3}-12x^{2}+6x-1\right)^{2}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
64x^{6}-192x^{5}+240x^{4}-160x^{3}+60x^{2}-12x+1
Square 8x^{3}-12x^{2}+6x-1.