Answer: The required multiplied expression is [tex]18x^3+30x^2+42x+20.[/tex]
Step-by-step explanation: We are given to multiply the following polynomial :
[tex]P=(3x^2+3x+5)(6x+4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To multiply the given expressions, we must multiply each term of one expression to every term of the other expression.
The multiplication of (i) is as follows :
[tex]P\\\\=(3x^2+3x+5)(6x+4)\\\\=6x(3x^2+3x+5)+4(3x^2+3x+5)\\\\=18x^3+18x^2+30x+12x^2+12x+20\\\\=18x^3+30x^2+42x+20.[/tex]
Thus, the required multiplied expression is [tex]18x^3+30x^2+42x+20.[/tex]
