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Expand the expression
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Factorize the expression
Answer
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$- 2 m n - 6 m + n + 3$
Organize polynomials
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ m } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ n } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ m } \color{#FF6800}{ n } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ m } \color{#FF6800}{ + } \color{#FF6800}{ n } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
$- \left ( 2 m - 1 \right ) \left ( n + 3 \right )$
Arrange the expression in the form of factorization..
$\left ( 2 m - 1 \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ n } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$ $ Bind the expressions with the common factor $ - 1$
$\left ( 2 m - 1 \right ) \times \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ n } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \right )$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ m } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ n } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \right )$
$ $ Sort the factors $ $
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ m } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ n } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
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