Solution
Step 1:
Write the expression
[tex]\left(4s+2\right)\left(5s²+10s+3\right)[/tex]Step 2
Apply the distributive property:
a(m + n) = am + an
Step 3
[tex]\begin{gathered} \left(4s+2\right)\left(5s²+10s+3\right) \\ 4s\left(5s²+10s+3\right)\text{ + 2\lparen5s^^b2+10s+3\rparen} \\ \\ 20s^3\text{ + 40s}^2\text{ + 12s + 10s}^2\text{ + 20s + 6} \\ \\ 20s^3\text{ + 50s}^2\text{ + 32s + 6} \end{gathered}[/tex]Final answer
[tex]20s^3+50s²+32s+6[/tex]