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Expand the expression
Answer
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Factorize the expression
Answer
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$a x ^ { 2 } + \left ( - a + 1 \right ) x - 1$
Organize polynomials
$\color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Organize the similar terms $ $
$\color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$\left ( x - 1 \right ) \left ( a x + 1 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Expand the expression $ $
$\color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ a } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
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