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Expand the expression
Answer
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Factorize the expression
Answer
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$a \left( x+1 \right) +b \left( x+1 \right)$
$\left ( a + b \right ) x + \left ( a + b \right )$
Organize polynomials
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) + b \left ( x + 1 \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ a } \color{#FF6800}{ x } + \color{#FF6800}{ a } + b \left ( x + 1 \right )$
$a x + a + \color{#FF6800}{ b } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Organize the expression with the distributive law $ $
$a x + a + \color{#FF6800}{ b } \color{#FF6800}{ x } + \color{#FF6800}{ b }$
$\color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ b }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right )$
$\left ( a + b \right ) \left ( x + 1 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ b } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Expand the expression $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right )$
$ $ Bind the expressions with the common factor $ a + b$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
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