Answer:
Jamie's mistake: The last term [tex]32[/tex] and not [tex]-32[/tex]. Jamie multiply the signs incorrectly.
Advice to avoid this mistake in the future: Jamie should remember that when two negative numbers are multiplied, the result is a positive number.
Step-by-step explanation:
The correct procedure is the one shown below:
[tex]=(3x-4)(2x-8)\\\\=(3x)(2x)+(3x)(-8)+(-4)(2x)+(-4)(-8)\\\\=6x^2-24x-8x+32\\\\=6x^2-32x+32[/tex]
You can identify that the last term is actually [tex]32[/tex] and not [tex]-32[/tex], so Jamie multiply the signs incorrectly.
To avoid that mistake in the future, Jamie must remember the mulitplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
So when two negative numbers are multiplied, the result is a positive number.
