Multiply the single term $a^6-3$ by each term of the polynomial $\left(a^6+8\right)$
Multiply the single term $a^6$ by each term of the polynomial $\left(a^6-3\right)$
When multiplying exponents with same base we can add the exponents
Multiply the single term $8$ by each term of the polynomial $\left(a^6-3\right)$
Combining like terms $-3a^6$ and $8a^6$
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