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Expand the expression
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Factorize the expression
Answer
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$\left ( a + 3 b + 2 \right ) x + \left ( - a - 3 b - 2 \right ) y$
Organize polynomials
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) + \left ( a + 3 b \right ) \left ( x - y \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } + \left ( a + 3 b \right ) \left ( x - y \right )$
$2 x - 2 y + \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
$ $ Organize the expression with the distributive law $ $
$2 x - 2 y + \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \color{#FF6800}{ y }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \color{#FF6800}{ y }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \right ) \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \right ) \color{#FF6800}{ x } + \left ( - 2 + \left ( - a - 3 b \right ) \right ) y$
$ $ Arrange the constant term $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } + \left ( - 2 + \left ( - a - 3 b \right ) \right ) y$
$\left ( a + 3 b + 2 \right ) x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \right ) \color{#FF6800}{ y }$
$ $ Arrange the constant term $ $
$\left ( a + 3 b + 2 \right ) x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ y }$
$\left ( x - y \right ) \left ( a + 3 b + 2 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
$ $ Expand the expression $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ y }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right )$
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