Evaluate
2x^{3}-18x+9
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2x^{3}-18x+9
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\left(2x^{2}-6x\right)\left(x+1\right)+\left(2x-3\right)^{2}
Use the distributive property to multiply 2x by x-3.
2x^{3}-4x^{2}-6x+\left(2x-3\right)^{2}
Use the distributive property to multiply 2x^{2}-6x by x+1 and combine like terms.
2x^{3}-4x^{2}-6x+4x^{2}-12x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3\right)^{2}.
2x^{3}-6x-12x+9
Combine -4x^{2} and 4x^{2} to get 0.
2x^{3}-18x+9
Combine -6x and -12x to get -18x.
\left(2x^{2}-6x\right)\left(x+1\right)+\left(2x-3\right)^{2}
Use the distributive property to multiply 2x by x-3.
2x^{3}-4x^{2}-6x+\left(2x-3\right)^{2}
Use the distributive property to multiply 2x^{2}-6x by x+1 and combine like terms.
2x^{3}-4x^{2}-6x+4x^{2}-12x+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3\right)^{2}.
2x^{3}-6x-12x+9
Combine -4x^{2} and 4x^{2} to get 0.
2x^{3}-18x+9
Combine -6x and -12x to get -18x.
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