Given,
The expression is (2x+2)(x+3).
Required
The product of the expressions.
The product of the expression is,
[tex]\begin{gathered} \left(2x+2\right)\left(x+3\right)=2x(x+3)+2(x+3) \\ =2x^2+6x+2x+6 \\ =2x^2+8x+6 \end{gathered}[/tex]Hence, the product of the expression is 2x^2+8x+6.