Evaluate
\left(8+5x-12x^{2}\right)x^{4}
Expand
8x^{4}+5x^{5}-12x^{6}
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6x^{6}-6x^{4}+15x^{5}-2x\left(5x^{4}-7x^{3}+9x^{5}\right)
Use the distributive property to multiply 3x by 2x^{5}-2x^{3}+5x^{4}.
6x^{6}-6x^{4}+15x^{5}-10x^{5}+14x^{4}-18x^{6}
Use the distributive property to multiply -2x by 5x^{4}-7x^{3}+9x^{5}.
6x^{6}-6x^{4}+5x^{5}+14x^{4}-18x^{6}
Combine 15x^{5} and -10x^{5} to get 5x^{5}.
6x^{6}+8x^{4}+5x^{5}-18x^{6}
Combine -6x^{4} and 14x^{4} to get 8x^{4}.
-12x^{6}+8x^{4}+5x^{5}
Combine 6x^{6} and -18x^{6} to get -12x^{6}.
6x^{6}-6x^{4}+15x^{5}-2x\left(5x^{4}-7x^{3}+9x^{5}\right)
Use the distributive property to multiply 3x by 2x^{5}-2x^{3}+5x^{4}.
6x^{6}-6x^{4}+15x^{5}-10x^{5}+14x^{4}-18x^{6}
Use the distributive property to multiply -2x by 5x^{4}-7x^{3}+9x^{5}.
6x^{6}-6x^{4}+5x^{5}+14x^{4}-18x^{6}
Combine 15x^{5} and -10x^{5} to get 5x^{5}.
6x^{6}+8x^{4}+5x^{5}-18x^{6}
Combine -6x^{4} and 14x^{4} to get 8x^{4}.
-12x^{6}+8x^{4}+5x^{5}
Combine 6x^{6} and -18x^{6} to get -12x^{6}.
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