Evaluate
26-6x-12x^{2}-8x^{3}
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26-6x-12x^{2}-8x^{3}
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27-\left(1+6x+12x^{2}+8x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+2x\right)^{3}.
27-1-6x-12x^{2}-8x^{3}
To find the opposite of 1+6x+12x^{2}+8x^{3}, find the opposite of each term.
26-6x-12x^{2}-8x^{3}
Subtract 1 from 27 to get 26.
27-\left(1+6x+12x^{2}+8x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+2x\right)^{3}.
27-1-6x-12x^{2}-8x^{3}
To find the opposite of 1+6x+12x^{2}+8x^{3}, find the opposite of each term.
26-6x-12x^{2}-8x^{3}
Subtract 1 from 27 to get 26.
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