This document describes the steps to solve the math problem (4n^2 + 5n +3)(3n-1 + 5). The steps are: 1) create a table with the terms of each factor; 2) multiply the terms in each column by the terms in each row; 3) organize the results by exponent; 4) combine like terms. The final simplified expression is 47n^6 + 20n + 9n + 15.

1. (4n 2 + 5n +3)(3n 1 + 5)

2. First I draw a table like this above: 4n 2 5n 3 3n1 5 then I multiply each column by each row. 12n 3 15n 2 9n 1 20n 2 20n 15

3. Then I put the numbers in order: 12n 2 + 20n 2 +15n 2 +20n +9n 1 +15

4. Then I find the like term and I get the math problem above: 47n 6 + 20n +9n +15

5. 47n 6 + 20n +9n +15