Simplify 2n(n^2+3n+4)

Problem

2*n*(n^2+3*n+4)

Solution

1. Distribute the term 2*n to each term inside the parentheses.

2. Multiply 2*n by n^2 to get 2*n^3

3. Multiply 2*n by 3*n to get 6*n^2

4. Multiply 2*n by 4 to get 8*n

5. Combine the resulting terms into a single polynomial expression.

Final Answer

2*n*(n^2+3*n+4)=2*n^3+6*n^2+8*n

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