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Formula
Expand the expression
Factorize the expression
$5a-10b+13c-12a-b+15c$
$- 7 a - 11 b + 28 c$
Organize polynomials
$\color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 13 } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \color{#FF6800}{ c }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ b } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 13 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \color{#FF6800}{ c }$
$\left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \right ) \color{#FF6800}{ a } + \left ( - 10 - 1 \right ) b + \left ( 13 + 15 \right ) c$
 Arrange the constant term 
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ a } + \left ( - 10 - 1 \right ) b + \left ( 13 + 15 \right ) c$
$- 7 a + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ b } + \left ( 13 + 15 \right ) c$
 Arrange the constant term 
$- 7 a \color{#FF6800}{ - } \color{#FF6800}{ 11 } \color{#FF6800}{ b } + \left ( 13 + 15 \right ) c$
$- 7 a - 11 b + \left ( \color{#FF6800}{ 13 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \color{#FF6800}{ c }$
 Arrange the constant term 
$- 7 a - 11 b + \color{#FF6800}{ 28 } \color{#FF6800}{ c }$
$- \left ( 7 a + 11 b - 28 c \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 13 } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \color{#FF6800}{ c }$
 Expand the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 11 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 28 } \color{#FF6800}{ c }$
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 11 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 28 } \color{#FF6800}{ c }$
 Bind the expressions with the common factor $- 1$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 28 } \color{#FF6800}{ c } \right )$
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