Solve the product (w^4-8)(w^4-3)

 Exercise

$\left(w^4-8\right)\left(w^4-3\right)$

 

Multiply the single term $w^4-3$ by each term of the polynomial $\left(w^4-8\right)$

$w^4\left(w^4-3\right)-8\left(w^4-3\right)$

 

Multiply the single term $w^4$ by each term of the polynomial $\left(w^4-3\right)$

$w^4\cdot w^4-3w^4-8\left(w^4-3\right)$

 

When multiplying exponents with same base we can add the exponents

$w^{8}-3w^4-8\left(w^4-3\right)$

 

Multiply the single term $-8$ by each term of the polynomial $\left(w^4-3\right)$

$w^{8}-3w^4-8w^4+24$

 

Combining like terms $-3w^4$ and $-8w^4$

$w^{8}-11w^4+24$

$w^{8}-11w^4+24$

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