Solve the product (a^3+6)(a^3-8)

 Exercise

$\left(a^3+6\right)\left(a^3-8\right)$

 

Multiply the single term $a^3-8$ by each term of the polynomial $\left(a^3+6\right)$

$a^3\left(a^3-8\right)+6\left(a^3-8\right)$

 

Multiply the single term $a^3$ by each term of the polynomial $\left(a^3-8\right)$

$a^3\cdot a^3-8a^3+6\left(a^3-8\right)$

 

When multiplying exponents with same base we can add the exponents

$a^{6}-8a^3+6\left(a^3-8\right)$

 

Multiply the single term $6$ by each term of the polynomial $\left(a^3-8\right)$

$a^{6}-8a^3+6a^3-48$

 

Combining like terms $-8a^3$ and $6a^3$

$a^{6}-2a^3-48$

$a^{6}-2a^3-48$

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