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Formula
Calculate the value
Factorize the expression
$a ^{ 2 } - \left( \dfrac{ 1 }{ 2 } a \right) ^{ 2 }$
$\dfrac { 3 a ^ { 2 } } { 4 }$
Arrange the rational expression
$a ^ { 2 } - \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ a } \right ) ^ { \color{#FF6800}{ 2 } }$
 Arrange the powers.. 
$a ^ { 2 } - \color{#FF6800}{ \dfrac { a ^ { 2 } } { 2 ^ { 2 } } }$
$a ^ { 2 } - \color{#FF6800}{ \dfrac { a ^ { 2 } } { 2 ^ { 2 } } }$
 Arrange the fraction expression 
$a ^ { 2 } - \color{#FF6800}{ \dfrac { a ^ { 2 } } { 4 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { a ^ { 2 } } { 4 } }$
 Calculate the expression as a fraction format 
$\color{#FF6800}{ \dfrac { 3 a ^ { 2 } } { 4 } }$
$\dfrac { 3 a } { 2 } \times \dfrac { a } { 2 }$
Factorize the expression
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ a } \right ) ^ { \color{#FF6800}{ 2 } }$
 Organize by using $A^{2} - B^{2} = (A+B)(A-B)$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ a } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ a } \right ) \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ a } \right ) \left ( a - \left ( \dfrac { 1 } { 2 } a \right ) \right )$
 Organize polynomials 
$\dfrac { 2 a + a } { 2 } \left ( a - \left ( \dfrac { 1 } { 2 } a \right ) \right )$
$\dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ a } } { 2 } \left ( a - \left ( \dfrac { 1 } { 2 } a \right ) \right )$
 Organize polynomials 
$\dfrac { 3 a } { 2 } \left ( a - \left ( \dfrac { 1 } { 2 } a \right ) \right )$
$\dfrac { 3 a } { 2 } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ a } \right ) \right )$
 Organize polynomials 
$\dfrac { 3 a } { 2 } \times \dfrac { 2 a - a } { 2 }$
$\dfrac { 3 a } { 2 } \times \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ a } } { 2 }$
 Organize polynomials 
$\dfrac { 3 a } { 2 } \times \dfrac { a } { 2 }$
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