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Formula
Expand the expression
$\left( x-1 \right) \left( y-1 \right) \left( z-1 \right)$
$x y z - x y - x z + x - y z + y + z - 1$
Organize polynomials
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( z - 1 \right )$
 Organize the expression with the distributive law 
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( z - 1 \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
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