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Expand the expression
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Factorize the expression
Answer
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$x ^ { 2 } + \left ( 4 a + 4 b \right ) x + 3 a ^ { 2 } + 6 a b + 3 b ^ { 2 }$
Organize polynomials
$x ^ { 2 } + \color{#FF6800}{ 4 } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } + 3 a ^ { 2 } + 6 a b + 3 b ^ { 2 }$
$ $ Arrange the constant term $ $
$x ^ { 2 } + \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } + 3 a ^ { 2 } + 6 a b + 3 b ^ { 2 }$
$\left ( a + b + x \right ) \left ( 3 a + 3 b + x \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } }$
$ $ Expand the expression $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ x } \right )$
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