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Expand the expression
Answer
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Factorize the expression
Answer
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$2 \left( -4b ^{ 2 } -b \right) +2 \left( 5b ^{ 2 } -b+1 \right)$
$2 b ^ { 2 } - 4 b + 2$
Organize polynomials
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) + 2 \left ( 5 b ^ { 2 } - b + 1 \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ b } + 2 \left ( 5 b ^ { 2 } - b + 1 \right )$
$- 8 b ^ { 2 } - 2 b + \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Organize the expression with the distributive law $ $
$- 8 b ^ { 2 } - 2 b + \color{#FF6800}{ 10 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ b } + \color{#FF6800}{ 2 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \right ) \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \right ) \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } + \left ( - 2 - 2 \right ) b + 2$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } + \left ( - 2 - 2 \right ) b + 2$
$2 b ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ b } + 2$
$ $ Arrange the constant term $ $
$2 b ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ b } + 2$
$2 \left ( b - 1 \right ) ^ { 2 }$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$ $ Bind the expressions with the common factor $ 2$
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Sort the factors $ $
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
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