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].
⇒ [tex]x\times x=x^{2}[/tex]
Next, we multiply the outer terms. Outer terms are [tex]x[/tex] and -4.
⇒ [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]
