Given:
[tex](4x^2+2)(6x^2+8x+5)[/tex]
To find the product, we expand by distributing sum groups.
[tex]\begin{gathered} (4x^2+2)(6x^2+8x+5) \\ =(4x^2)(6x^2+8x+5)+(2)(6x^2+8x+5) \\ \end{gathered}[/tex]
Next, expand by distributing tems:
[tex]\begin{gathered} =24x^4+32x^3+20x^2+12x^2+16x+10 \\ \text{Then, collect like terms:} \\ =24x^4+23x^3+(20x^2+12x^2)+16x+10 \\ \text{Simplify} \\ =24x^4+32x^3+32x^2+16x+10 \end{gathered}[/tex]
Therefore, the answer is:
[tex]24x^4+32x^3+32x^2+16x+10[/tex]
