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Formula
Calculate the value
Answer
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$85 ^{ 2 } -15 ^{ 2 }$
$7000$
Calculate the value
$\color{#FF6800}{ 85 } ^ { \color{#FF6800}{ 2 } } - 15 ^ { 2 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 7225 } - 15 ^ { 2 }$
$7225 - \color{#FF6800}{ 15 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$7225 - \color{#FF6800}{ 225 }$
$\color{#FF6800}{ 7225 } \color{#FF6800}{ - } \color{#FF6800}{ 225 }$
$ $ Subtract $ 225 $ from $ 7225$
$\color{#FF6800}{ 7000 }$
$7000$
Calculation using the sum and difference formula
$\color{#FF6800}{ 85 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 15 } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize by using $ A^{2} - B^{2} = (A+B)(A-B)$
$\left ( \color{#FF6800}{ 85 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \left ( \color{#FF6800}{ 85 } \color{#FF6800}{ - } \color{#FF6800}{ 15 } \right )$
$\left ( \color{#FF6800}{ 85 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \left ( 85 - 15 \right )$
$ $ Add $ 85 $ and $ 15$
$\color{#FF6800}{ 100 } \left ( 85 - 15 \right )$
$100 \left ( \color{#FF6800}{ 85 } \color{#FF6800}{ - } \color{#FF6800}{ 15 } \right )$
$ $ Subtract $ 15 $ from $ 85$
$100 \times \color{#FF6800}{ 70 }$
$\color{#FF6800}{ 100 } \color{#FF6800}{ \times } \color{#FF6800}{ 70 }$
$ $ Multiply $ 100 $ and $ 70$
$\color{#FF6800}{ 7000 }$
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