Binomial Multiplication (FOIL) paper (x-2)(x-4)

Accepted Solution

Answer:[tex]x^{2}-6x+8[/tex]Step-by-step explanation:Given: Binomial is [tex](x-2)(x-4)[/tex]. In FOIL method, we first multiply the first term of each binomial. First terms are [tex]x[/tex] and [tex]x[/tex].β‡’ [tex]x\times x=x^{2}[/tex]Next, we multiply the outer terms. Outer terms are [tex]x[/tex] and -4.β‡’ [tex]x\times -4=-4x[/tex]Next, we multiply the inner terms. Inner terms are -2 and [tex]x[/tex].[tex]-2\times x=-2x[/tex]Lastly, we multiply the last terms of each binomial. Last terms are -2 and -4.[tex]-2\times -4=8[/tex]Now, we add all the results to get the answer.Therefore, [tex](x-2)(x-4)=x^{2}-4x-2x+8=x^{2}-6x+8[/tex]