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Formula
Expand the expression
$i \left( x+i \right) ^{ 2 }$
$i x ^ { 2 } - 2 x - i$
Organize polynomials
$i \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ i } \right ) ^ { \color{#FF6800}{ 2 } }$
 Expand the binomial expression 
$i \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ i } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$\color{#FF6800}{ i } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ i } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ i } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ i }$
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