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Formula
Calculate the value
Answer
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$54 ^{ 2 } -46 ^{ 2 }$
$800$
Calculate the value
$\color{#FF6800}{ 54 } ^ { \color{#FF6800}{ 2 } } - 46 ^ { 2 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 2916 } - 46 ^ { 2 }$
$2916 - \color{#FF6800}{ 46 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$2916 - \color{#FF6800}{ 2116 }$
$\color{#FF6800}{ 2916 } \color{#FF6800}{ - } \color{#FF6800}{ 2116 }$
$ $ Subtract $ 2116 $ from $ 2916$
$\color{#FF6800}{ 800 }$
$800$
Calculation using the sum and difference formula
$\color{#FF6800}{ 54 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 46 } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize by using $ A^{2} - B^{2} = (A+B)(A-B)$
$\left ( \color{#FF6800}{ 54 } \color{#FF6800}{ + } \color{#FF6800}{ 46 } \right ) \left ( \color{#FF6800}{ 54 } \color{#FF6800}{ - } \color{#FF6800}{ 46 } \right )$
$\left ( \color{#FF6800}{ 54 } \color{#FF6800}{ + } \color{#FF6800}{ 46 } \right ) \left ( 54 - 46 \right )$
$ $ Add $ 54 $ and $ 46$
$\color{#FF6800}{ 100 } \left ( 54 - 46 \right )$
$100 \left ( \color{#FF6800}{ 54 } \color{#FF6800}{ - } \color{#FF6800}{ 46 } \right )$
$ $ Subtract $ 46 $ from $ 54$
$100 \times \color{#FF6800}{ 8 }$
$\color{#FF6800}{ 100 } \color{#FF6800}{ \times } \color{#FF6800}{ 8 }$
$ $ Multiply $ 100 $ and $ 8$
$\color{#FF6800}{ 800 }$
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