The given expression is:
[tex](x-2)(x+4)[/tex]
It is required to simplify the product using the distributive property.
Apply the distributive property to the product:
[tex](x-2)(x+4)=x(x+4)-2(x+4)[/tex]
Apply the distributive property again to simplify the expression on the right:
[tex]\begin{gathered} x(x+4)-2(x+4)=x\cdot x+x\cdot4+(-2)\cdot x+(-2)\cdot4 \\ =x^2+4x-2x-8 \\ =x^2+2x-8 \end{gathered}[/tex]
The answer is x²+2x-8.
