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Formula
Expand the expression
Organize using the law of exponent
$a \times a$
$a ^ { 2 }$
Organize polynomials
$\color{#FF6800}{ a } \color{#FF6800}{ a }$
 Arrange the variable part of the mononomial expression 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$a ^ { 2 }$
Organize using the law of exponent
$\color{#FF6800}{ a } a$
 If the exponent is omitted, the exponent of that term is equal to 1 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } a$
$a ^ { 1 } \color{#FF6800}{ a }$
 If the exponent is omitted, the exponent of that term is equal to 1 
$a ^ { 1 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$a ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
 Add $1$ and $1$
$a ^ { \color{#FF6800}{ 2 } }$
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