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Formula
Calculate the value
Answer
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$102 ^{ 2 } -98 ^{ 2 }$
$800$
Calculate the value
$\color{#FF6800}{ 102 } ^ { \color{#FF6800}{ 2 } } - 98 ^ { 2 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 10404 } - 98 ^ { 2 }$
$10404 - \color{#FF6800}{ 98 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$10404 - \color{#FF6800}{ 9604 }$
$\color{#FF6800}{ 10404 } \color{#FF6800}{ - } \color{#FF6800}{ 9604 }$
$ $ Subtract $ 9604 $ from $ 10404$
$\color{#FF6800}{ 800 }$
$800$
Calculation using the sum and difference formula
$\color{#FF6800}{ 102 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 98 } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize by using $ A^{2} - B^{2} = (A+B)(A-B)$
$\left ( \color{#FF6800}{ 102 } \color{#FF6800}{ + } \color{#FF6800}{ 98 } \right ) \left ( \color{#FF6800}{ 102 } \color{#FF6800}{ - } \color{#FF6800}{ 98 } \right )$
$\left ( \color{#FF6800}{ 102 } \color{#FF6800}{ + } \color{#FF6800}{ 98 } \right ) \left ( 102 - 98 \right )$
$ $ Add $ 102 $ and $ 98$
$\color{#FF6800}{ 200 } \left ( 102 - 98 \right )$
$200 \left ( \color{#FF6800}{ 102 } \color{#FF6800}{ - } \color{#FF6800}{ 98 } \right )$
$ $ Subtract $ 98 $ from $ 102$
$200 \times \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 200 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 }$
$ $ Multiply $ 200 $ and $ 4$
$\color{#FF6800}{ 800 }$
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