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Expand the expression
Answer
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Factorize the expression
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$6x- [ 3x-4y- \{ x-3y- \left( 2x-5y \right) \} ]$
$2 x + 6 y$
Organize polynomials
$6 x - \left ( 3 x - 4 y - \left ( x - 3 y \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right ) \right ) \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$6 x - \left ( 3 x - 4 y - \left ( x - 3 y \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } + \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right ) \right )$
$6 x - \left ( 3 x - 4 y - \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right ) \right )$
$ $ Organize the similar terms $ $
$6 x - \left ( 3 x - 4 y - \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ y } \right ) \right )$
$6 x - \left ( 3 x - 4 y - \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } + \left ( - 3 + 5 \right ) y \right ) \right )$
$ $ Organize the mononomial expression $ $
$6 x - \left ( 3 x - 4 y - \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } + \left ( - 3 + 5 \right ) y \right ) \right )$
$6 x - \left ( 3 x - 4 y - \left ( - x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ y } \right ) \right )$
$ $ Arrange the constant term $ $
$6 x - \left ( 3 x - 4 y - \left ( - x + \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \right )$
$6 x - \left ( 3 x - 4 y \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$6 x - \left ( 3 x - 4 y + \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right )$
$6 x - \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right )$
$ $ Organize the similar terms $ $
$6 x - \left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ y } \right )$
$6 x - \left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } + \left ( - 4 - 2 \right ) y \right )$
$ $ Arrange the constant term $ $
$6 x - \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \left ( - 4 - 2 \right ) y \right )$
$6 x - \left ( 4 x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ y } \right )$
$ $ Arrange the constant term $ $
$6 x - \left ( 4 x \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right )$
$6 x \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$6 x \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } + 6 y$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } + 6 y$
$2 \left ( x + 3 y \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right ) \right ) \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y }$
$ $ Tie a common factor $ $
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
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