Question #2e112

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Question #2e112

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Answer 1 · 2018-02-13T12:57:19

$x^{2} - 6 x + 9$ $x^2-6x+9$

Explanation:

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

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

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.

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

$x^{2} - 3 x ddddd - 3 x + 9$ $color(green)(x^2-3xcolor(white)("ddddd")-3x+9)$

$x^{2} - 6 x + 9$ $color(green)( x^2-6x+9 )$

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Question #2e112

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