Evaluate
2\left(\left(3-2x\right)^{3}-x\right)
Expand
54-110x+72x^{2}-16x^{3}
Graph
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2\left(-8x^{3}+36x^{2}-54x+27\right)-2x
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(-2x+3\right)^{3}.
-16x^{3}+72x^{2}-108x+54-2x
Use the distributive property to multiply 2 by -8x^{3}+36x^{2}-54x+27.
-16x^{3}+72x^{2}-110x+54
Combine -108x and -2x to get -110x.
2\left(-8x^{3}+36x^{2}-54x+27\right)-2x
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(-2x+3\right)^{3}.
-16x^{3}+72x^{2}-108x+54-2x
Use the distributive property to multiply 2 by -8x^{3}+36x^{2}-54x+27.
-16x^{3}+72x^{2}-110x+54
Combine -108x and -2x to get -110x.
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