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16x^{3}+12x
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16x^{3}+12x
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8x^{3}+12x^{2}+6x+1+\left(2x-1\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+1\right)^{3}.
8x^{3}+12x^{2}+6x+1+8x^{3}-12x^{2}+6x-1
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
16x^{3}+12x^{2}+6x+1-12x^{2}+6x-1
Combine 8x^{3} and 8x^{3} to get 16x^{3}.
16x^{3}+6x+1+6x-1
Combine 12x^{2} and -12x^{2} to get 0.
16x^{3}+12x+1-1
Combine 6x and 6x to get 12x.
16x^{3}+12x
Subtract 1 from 1 to get 0.
8x^{3}+12x^{2}+6x+1+\left(2x-1\right)^{3}
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2x+1\right)^{3}.
8x^{3}+12x^{2}+6x+1+8x^{3}-12x^{2}+6x-1
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-1\right)^{3}.
16x^{3}+12x^{2}+6x+1-12x^{2}+6x-1
Combine 8x^{3} and 8x^{3} to get 16x^{3}.
16x^{3}+6x+1+6x-1
Combine 12x^{2} and -12x^{2} to get 0.
16x^{3}+12x+1-1
Combine 6x and 6x to get 12x.
16x^{3}+12x
Subtract 1 from 1 to get 0.
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