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Calculate the value
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Factorize the expression
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$\dfrac { 9 x ^ { 2 } - 4 y ^ { 2 } } { 36 }$
Arrange the rational expression
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 9 } } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate the expression as a fraction format $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 36 } } }$
$\dfrac { 1 } { 36 } \left ( 3 x + 2 y \right ) \left ( 3 x - 2 y \right )$
Factorize the expression
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 9 } } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Bind the expressions with the common factor $ \dfrac { 1 } { 36 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 36 } } } \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
$\dfrac { 1 } { 36 } \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } - 4 y ^ { 2 } \right )$
$ $ Present as the shape of the power $ $
$\dfrac { 1 } { 36 } \left ( \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } - 4 y ^ { 2 } \right )$
$\dfrac { 1 } { 36 } \left ( \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } - 4 y ^ { 2 } \right )$
$ $ Binding the power $ $
$\dfrac { 1 } { 36 } \left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } - 4 y ^ { 2 } \right )$
$\dfrac { 1 } { 36 } \left ( \left ( 3 x \right ) ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Present as the shape of the power $ $
$\dfrac { 1 } { 36 } \left ( \left ( 3 x \right ) ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right ) \right )$
$\dfrac { 1 } { 36 } \left ( \left ( 3 x \right ) ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right ) \right )$
$ $ Binding the power $ $
$\dfrac { 1 } { 36 } \left ( \left ( 3 x \right ) ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$\dfrac { 1 } { 36 } \left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Organize by using $ A^{2} - B^{2} = (A+B)(A-B)$
$\dfrac { 1 } { 36 } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \right )$
$\dfrac { 1 } { 36 } \left ( 3 x + 2 y \right ) \left ( 3 x \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \right )$
$ $ Release the parentheses $ $
$\dfrac { 1 } { 36 } \left ( 3 x + 2 y \right ) \left ( 3 x \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right )$
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