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