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27x^{3}-8-3x\left(3x+1\right)\left(3x-1\right)
Use the distributive property to multiply 3x-2 by 9x^{2}+6x+4 and combine like terms.
27x^{3}-8+\left(-9x^{2}-3x\right)\left(3x-1\right)
Use the distributive property to multiply -3x by 3x+1.
27x^{3}-8-27x^{3}+3x
Use the distributive property to multiply -9x^{2}-3x by 3x-1 and combine like terms.
-8+3x
Combine 27x^{3} and -27x^{3} to get 0.
27x^{3}-8-3x\left(3x+1\right)\left(3x-1\right)
Use the distributive property to multiply 3x-2 by 9x^{2}+6x+4 and combine like terms.
27x^{3}-8+\left(-9x^{2}-3x\right)\left(3x-1\right)
Use the distributive property to multiply -3x by 3x+1.
27x^{3}-8-27x^{3}+3x
Use the distributive property to multiply -9x^{2}-3x by 3x-1 and combine like terms.
-8+3x
Combine 27x^{3} and -27x^{3} to get 0.