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Formula
Calculate the value
Factorize the expression
$\dfrac{ 4 }{ 9 } x ^{ 2 } - \dfrac{ 16 }{ 25 } y ^{ 2 }$
$\dfrac { 100 x ^ { 2 } - 144 y ^ { 2 } } { 225 }$
Arrange the rational expression
$\color{#FF6800}{ \dfrac { 4 } { 9 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 25 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
 Calculate the expression as a fraction format 
$\color{#FF6800}{ \dfrac { 100 x ^ { 2 } - 144 y ^ { 2 } } { 225 } }$
$\dfrac { 4 } { 225 } \left ( 5 x + 6 y \right ) \left ( 5 x - 6 y \right )$
Factorize the expression
$\color{#FF6800}{ \dfrac { 4 } { 9 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 25 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
 Bind the expressions with the common factor $\dfrac { 4 } { 225 }$
$\color{#FF6800}{ \dfrac { 4 } { 225 } } \left ( \color{#FF6800}{ 25 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 36 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
$\dfrac { 4 } { 225 } \left ( \color{#FF6800}{ 25 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } - 36 y ^ { 2 } \right )$
 Present as the shape of the power 
$\dfrac { 4 } { 225 } \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } - 36 y ^ { 2 } \right )$
$\dfrac { 4 } { 225 } \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } - 36 y ^ { 2 } \right )$
 Binding the power 
$\dfrac { 4 } { 225 } \left ( \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } - 36 y ^ { 2 } \right )$
$\dfrac { 4 } { 225 } \left ( \left ( 5 x \right ) ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 36 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
 Present as the shape of the power 
$\dfrac { 4 } { 225 } \left ( \left ( 5 x \right ) ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 6 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right ) \right )$
$\dfrac { 4 } { 225 } \left ( \left ( 5 x \right ) ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 6 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right ) \right )$
 Binding the power 
$\dfrac { 4 } { 225 } \left ( \left ( 5 x \right ) ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$\dfrac { 4 } { 225 } \left ( \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
 Organize by using $A^{2} - B^{2} = (A+B)(A-B)$
$\dfrac { 4 } { 225 } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right ) \right )$
$\dfrac { 4 } { 225 } \left ( 5 x + 6 y \right ) \left ( 5 x \color{#FF6800}{ - } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right ) \right )$
 Release the parentheses 
$\dfrac { 4 } { 225 } \left ( 5 x + 6 y \right ) \left ( 5 x \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right )$
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