Question

Perform the indicated operation ?

Answer 1

`2n^4+4n^3-4n^2-8n`
Replace g(n) and h(n) with the functions to multiply

`(n^(3) -2n)*(2n+4)`
Multiply the First, Inner, Outer, and Last terms in the parentheses. when multiplying a variable the exponents of the same base add together.

`(n^(3) -2n)*(2n+4) = 2n^4+4n^3-4n^2-8n`

Answer 2

Answer:
`g(n)\cdot h(n)=2n^4+4n^3-4n^2-8n`

Explanation:

The given functions :

`g(n)=n^3-2n\\\\ h(n)=2n+4` of same variable n.

The indicated operation here is multiplication.

Therefore,

`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`

Hence,
`g(n)\cdot h(n)=2n^4+4n^3-4n^2-8n`