# How do you multiply (x-1)^3?

Jul 29, 2016

$= {x}^{3} - 3 {x}^{2} + 3 x - 1$

#### Explanation:

${\left(x - 1\right)}^{3}$
$= \left(x - 1\right) {\left(x - 1\right)}^{2}$
$= \left(x - 1\right) \left({x}^{2} - 2 x + 1\right)$
$= {x}^{3} - 2 {x}^{2} + x - {x}^{2} + 2 x - 1$
$= {x}^{3} - 3 {x}^{2} + 3 x - 1$
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