Answer :
Since both of the factors are binomials, FOIL Method may be used.
Product of the First terms: (x)(2x)= 2x²
Product of the Outer terms: (x)(3)= 3x
Product of the Inner terms: (-2)(2x)= -4x
Product of the Last terms: (-2)(3)= -6
Since the product of the outer and the inner terms are like terms, we may add the two products.
[tex]3x+(-4x)=-x[/tex]Thus, combining all terms in one expression would be as follows.
[tex]\begin{gathered} (x-2)(2x+3)=2x^2+3x-4x-6 \\ (x-2)(2x+3)=2x^2-x-6 \end{gathered}[/tex]