Question #3ba3f

1 Answer
Gaya3
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)#

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