Evaluate
\left(a-1\right)a^{2}
Expand
a^{3}-a^{2}
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2a^{3}+16a-a^{2}-8-a^{3}-16a+8
Use the distributive property to multiply 2a-1 by a^{2}+8.
a^{3}+16a-a^{2}-8-16a+8
Combine 2a^{3} and -a^{3} to get a^{3}.
a^{3}-a^{2}-8+8
Combine 16a and -16a to get 0.
a^{3}-a^{2}
Add -8 and 8 to get 0.
2a^{3}+16a-a^{2}-8-a^{3}-16a+8
Use the distributive property to multiply 2a-1 by a^{2}+8.
a^{3}+16a-a^{2}-8-16a+8
Combine 2a^{3} and -a^{3} to get a^{3}.
a^{3}-a^{2}-8+8
Combine 16a and -16a to get 0.
a^{3}-a^{2}
Add -8 and 8 to get 0.
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Limits
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