Respuesta :

20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6
20s^3 + 50s^2 + 32s + 6 

Answer:  

[tex]20s^3+50s^2+32s+6[/tex]

Explanation:  

we have been given the function [tex]\left(4s+2\right)\left(5s^2+10s+3\right)[/tex]

So, as to multiply the two expression step by step calculation is shown below:

First of all we will open the parenthesis

[tex]4s\cdot \:5s^2+4s\cdot \:10s+4s\cdot \:3+2\cdot \:5s^2+2\cdot \:10s+2\cdot \:3[/tex]

[tex]4\cdot \:5s^2s+4\cdot \:10ss+4\cdot \:3s+2\cdot \:5s^2+2\cdot \:10s+2\cdot \:3[/tex]

After simplification we will get the following:

[tex]4\cdot \:5s^2s+4\cdot \:10ss+4\cdot \:3s+2\cdot \:5s^2+2\cdot \:10s+2\cdot \:3:\quad 20s^3+50s^2+32s+6[/tex]

After further simplification  we will get

[tex]20s^3+50s^2+32s+6[/tex]