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Expand the expression
Answer
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Factorize the expression
Answer
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$\left( 3a ^{ 2 } b+2a \right) \left( 3a ^{ 2 } b-2a \right)$
$9 a ^ { 4 } b ^ { 2 } - 4 a ^ { 2 }$
Organize polynomials
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$a ^ { 2 } \left ( 3 a b - 2 \right ) \left ( 3 a b + 2 \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \left ( 3 a ^ { 2 } b - 2 a \right )$
$ $ Tie a common factor $ $
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( 3 a ^ { 2 } b - 2 a \right )$
$a \left ( 3 a b + 2 \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right )$
$ $ Tie a common factor $ $
$a \left ( 3 a b + 2 \right ) \color{#FF6800}{ a } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$ $ Arrange the coefficients $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$ $ Sort the factors $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right )$
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