Solve the product (12+3g^4)(3g^4-3)

 Exercise

$\left(12+3g^4\right)\left(3g^4-3\right)$

 

Multiply the single term $3g^4-3$ by each term of the polynomial $\left(12+3g^4\right)$

$12\left(3g^4-3\right)+3g^4\left(3g^4-3\right)$

 

Multiply the single term $12$ by each term of the polynomial $\left(3g^4-3\right)$

$36g^4-36+3g^4\left(3g^4-3\right)$

 

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

$36g^4-36+9g^4\cdot g^4-9g^4$

 

When multiplying exponents with same base we can add the exponents

$36g^4-36+9g^{8}-9g^4$

 

Combining like terms $36g^4$ and $-9g^4$

$27g^4-36+9g^{8}$

$27g^4-36+9g^{8}$

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