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Factorize the expression
Answer
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$xy-4x+y-4$
$\left ( x + 1 \right ) \left ( y - 4 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$ $ Do factorization $ $
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( 4 - y \right )$
$ $ Expand the expression $ $
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( 4 - y \right )$
$\left ( - x - 1 \right ) \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
$ $ Expand the expression $ $
$\left ( - x - 1 \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right )$
$\left ( - x - 1 \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right )$
$ $ Bind the expressions with the common factor $ - 1$
$\left ( - x - 1 \right ) \times \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \right )$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$
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