The given expression is,
[tex](x+2)(x-3)[/tex]
Apply FOIL Method:
[tex]\mleft(a+b\mright)\mleft(c+d\mright)=ac+ad+bc+bd[/tex]
Therefore,
[tex]\begin{gathered} \mleft(x+2\mright)\mleft(x-3\mright)=xx+x\mleft(-3\mright)+2x+2\mleft(-3\mright) \\ =xx+x\mleft(-3\mright)+2x+2\mleft(-3\mright) \end{gathered}[/tex]
Simplify
[tex]x^2-3x+2x-6=x^2-x-6[/tex]
Hence, the product in its simplest form is
[tex]x^2-x-6[/tex]
