Question

Question #2e112

Answer 1

`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 )`