perform the indicated operation ?
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Answer: [tex]g(n)\cdot h(n)=2n^4+4n^3-4n^2-8n[/tex]
Step-by-step explanation:
The given functions :
[tex]g(n)=n^3-2n\\\\ h(n)=2n+4[/tex] of same variable n.
The indicated operation here is multiplication.
Therefore,
[tex]g(n)\cdot h(n)=(n^3-2n)(2n+4)\\\\n^3(2n)+n^3(4)-2n(2n)-2n(4)\\\\=2n^4+4n^3-4n^2-8n[/tex]
Hence, [tex]g(n)\cdot h(n)=2n^4+4n^3-4n^2-8n[/tex]