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Calculate the value
Answer
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Simplify the expression
Answer
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$21 ^{ 2 } -2 \times 21+1$
$400$
Calculate the value
$\color{#FF6800}{ 21 } ^ { \color{#FF6800}{ 2 } } - 2 \times 21 + 1$
$ $ Calculate power $ $
$\color{#FF6800}{ 441 } - 2 \times 21 + 1$
$441 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 21 } + 1$
$ $ Multiply $ - 2 $ and $ 21$
$441 \color{#FF6800}{ - } \color{#FF6800}{ 42 } + 1$
$\color{#FF6800}{ 441 } \color{#FF6800}{ - } \color{#FF6800}{ 42 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$ $ Calculate the sum or the difference $ $
$\color{#FF6800}{ 400 }$
$400$
Calculation using the perfect square formula
$21 ^ { 2 } - 2 \times 21 + \color{#FF6800}{ 1 }$
$ $ Present as the shape of the power $ $
$21 ^ { 2 } - 2 \times 21 + \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } }$
$21 ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 21 } + 1 ^ { 2 }$
$ $ Change the term in the middle $ $
$21 ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 21 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } \right ) + 1 ^ { 2 }$
$\color{#FF6800}{ 21 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 21 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize the expression using $ A^{2} ± 2AB + B^2 = (A ± B)^{2}$
$\left ( \color{#FF6800}{ 21 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ 21 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { 2 }$
$ $ Subtract $ 1 $ from $ 21$
$\color{#FF6800}{ 20 } ^ { 2 }$
$\color{#FF6800}{ 20 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$\color{#FF6800}{ 400 }$
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