Solve the product (3y^9-8)(3y^9+18)

 Exercise

\left(3y^9-8\right)\left(3y^9+18\right)

 

Multiply the single term $3y^9+18$ by each term of the polynomial $\left(3y^9-8\right)$

3y^9\left(3y^9+18\right)-8\left(3y^9+18\right)

 

Multiply the single term $3y^9$ by each term of the polynomial $\left(3y^9+18\right)$

9y^9\cdot y^9+54y^9-8\left(3y^9+18\right)

 

When multiplying exponents with same base we can add the exponents

9y^{18}+54y^9-8\left(3y^9+18\right)

 

Multiply the single term $-8$ by each term of the polynomial $\left(3y^9+18\right)$

9y^{18}+54y^9-24y^9-144

 

Combining like terms $54y^9$ and $-24y^9$

9y^{18}+30y^9-144

9y^{18}+30y^9-144

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