Solve the product (n^4-6)(n^4-7)

 Exercise

$\left(n^4-6\right)\left(n^4-7\right)$

 

Multiply the single term $n^4-7$ by each term of the polynomial $\left(n^4-6\right)$

$n^4\left(n^4-7\right)-6\left(n^4-7\right)$

 

Multiply the single term $n^4$ by each term of the polynomial $\left(n^4-7\right)$

$n^4\cdot n^4-7n^4-6\left(n^4-7\right)$

 

When multiplying exponents with same base we can add the exponents

$n^{8}-7n^4-6\left(n^4-7\right)$

 

Multiply the single term $-6$ by each term of the polynomial $\left(n^4-7\right)$

$n^{8}-7n^4-6n^4+42$

 

Combining like terms $-7n^4$ and $-6n^4$

$n^{8}-13n^4+42$

$n^{8}-13n^4+42$

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