Question #3ba3f

1 Answer
Oct 13, 2017

(−x+1)(x−2)

Explanation:

(x-3)(x+2)+" something "=color(blue)(2(x-4)

Subtracting color(red)((x-3)(x+2) from both sides:

=>cancel((x-3)(x+2))+" something "cancel(color(red)(-(x-3)(x+2)))=color(blue)(2(x-4))color(red)(-(x-3)(x+2)

=>"something"=color(blue)(2(x-4))-color(red)((x-3)(x+2)

=color(blue)(2x-(2times4))-color(red)((xtimesx+2x-3x-6)

=color(blue)(2x-8)-color(red)((x^2+2x-3x-6)

=color(blue)(2x-8)color(red)(-x^2-2x+3x+6

Combining like terms:

=color(green)(-x^2)color(orange)(+2x-2x+3x)color(violet)(-8+6)

=color(green)(-x^2color(orange)(+3xcolor(violet)(-2

OR

(−x+1)(x−2)