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Formula
Expand the expression
Factorize the expression
$x \left( a-b \right) -y \left( a-b \right)$
$\left ( a - b \right ) x + \left ( - a + b \right ) y$
Organize polynomials
$\color{#FF6800}{ x } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) - y \left ( a - b \right )$
 Sort the order of variables in the mononomial expression 
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } - y \left ( a - b \right )$
$\left ( a - b \right ) x \color{#FF6800}{ - } \color{#FF6800}{ y } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right )$
 Sort the order of variables in the mononomial expression 
$\left ( a - b \right ) x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ y }$
$\left ( a - b \right ) \left ( x - y \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ x } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \color{#FF6800}{ - } \color{#FF6800}{ y } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right )$
 Expand the expression 
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ y }$
 Do factorization 
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
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