Evaluate
12x^{5}+8x^{3}-6x
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12x^{5}+8x^{3}-6x
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\left(4x^{4}-6\right)x+\left(x^{2}+1\right)\times 8x^{3}
Use the distributive property to multiply 2x^{4}-3 by 2.
4x^{5}-6x+\left(x^{2}+1\right)\times 8x^{3}
Use the distributive property to multiply 4x^{4}-6 by x.
4x^{5}-6x+\left(8x^{2}+8\right)x^{3}
Use the distributive property to multiply x^{2}+1 by 8.
4x^{5}-6x+8x^{5}+8x^{3}
Use the distributive property to multiply 8x^{2}+8 by x^{3}.
12x^{5}-6x+8x^{3}
Combine 4x^{5} and 8x^{5} to get 12x^{5}.
\left(4x^{4}-6\right)x+\left(x^{2}+1\right)\times 8x^{3}
Use the distributive property to multiply 2x^{4}-3 by 2.
4x^{5}-6x+\left(x^{2}+1\right)\times 8x^{3}
Use the distributive property to multiply 4x^{4}-6 by x.
4x^{5}-6x+\left(8x^{2}+8\right)x^{3}
Use the distributive property to multiply x^{2}+1 by 8.
4x^{5}-6x+8x^{5}+8x^{3}
Use the distributive property to multiply 8x^{2}+8 by x^{3}.
12x^{5}-6x+8x^{3}
Combine 4x^{5} and 8x^{5} to get 12x^{5}.
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