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Expand the expression
Answer
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Factorize the expression
Answer
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$3 \left( x+2y \right) -5 \left( 2x-3y \right)$
$- 7 x + 21 y$
Organize polynomials
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) - 5 \left ( 2 x - 3 y \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } + \color{#FF6800}{ 6 } \color{#FF6800}{ y } - 5 \left ( 2 x - 3 y \right )$
$3 x + 6 y \color{#FF6800}{ - } \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
$ $ Organize the expression with the distributive law $ $
$3 x + 6 y \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ x } + \color{#FF6800}{ 15 } \color{#FF6800}{ y }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \color{#FF6800}{ y }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right ) \color{#FF6800}{ x } + \left ( 6 + 15 \right ) y$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } + \left ( 6 + 15 \right ) y$
$- 7 x + \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \color{#FF6800}{ y }$
$ $ Arrange the constant term $ $
$- 7 x + \color{#FF6800}{ 21 } \color{#FF6800}{ y }$
$- 7 \left ( x - 3 y \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 21 } \color{#FF6800}{ y }$
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 21 } \color{#FF6800}{ y }$
$ $ Tie a common factor $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
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