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Expand the expression
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Factorize the expression
Answer
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$a ^ { 2 } - a c - b ^ { 2 } + b c$
Organize polynomials
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$\left ( a - b \right ) \left ( a + b - c \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$ $ Expand the expression $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ c } \right )$
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