Question #2e112

1 Answer
Feb 13, 2018

Answer:

#x^2-6x+9#

Explanation:

#color(blue)("Assumption: you wish to multiply out the brackets")#

Write as #color(blue)( (x-3) )color(green)((x-3))#

Multiply every thing in the right hand brackets by every thing in the left. This is a slight variation on something called FOIL. Really it is the same thing but in disguise.

#color(green)(color(blue)(x)(x-3) color(white)("dddd")color(blue)(-3)(x-3)) color(white)("ddd")larr" The minus follows the 3"#

#color(green)(x^2-3xcolor(white)("ddddd")-3x+9)#

#color(green)( x^2-6x+9 )#