I don’t know if I got the right answer and need help showing work ! :(

Since the factors are both binomial, we may use the FOIL method.
Product of the First terms:
[tex](2x)(x)=2x^2[/tex]Product of the Outer terms:
[tex](2x)(-6)=-12x[/tex]Product of the Inner terms:
[tex](-4)(x)=-4x[/tex]Product of the Last terms:
[tex](-4)(-6)=24[/tex]Thus, we obtain the following expression.
[tex]2x^2-12x-4x+24[/tex]Combining the product of the outer and inner terms, we obtain the following.
[tex]2x^2-16x+24[/tex]