How do you multiply ${(x - 3)}^{2}$ $(x - 3)^2$ ?

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Answer 1 · 2016-06-22T14:17:09

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

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

Multiply everything in the brown brackets by everything in the blue brackets.

Note that he minus sign of $- 3$ $color(blue)(-3)$ follows the $3$ $color(blue)(3)$

$x (x - 3) - 3 (x - 3)$ $color(blue)(xcolor(brown)((x-3))" "-3color(brown)((x-3)))$

$x^{2} - 3 x - 3 x + 9$ $x^2-3x" "-3x+9$

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

How do you multiply (x - 3)^2(x−3)2 (x - 3)^2?