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Factorize the expression
Answer
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$4a ^{ 4 } -9b ^{ 2 } c ^{ 2 }$
$\left ( 2 a ^ { 2 } - 3 b c \right ) \left ( 2 a ^ { 2 } + 3 b c \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
$ $ Factorize to use the polynomial formula of sum and difference $ $
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ c } \right )$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ c } \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ c } \right )$
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