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Formula
Calculate the value
Answer
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$25 ^{ 2 } -24 ^{ 2 }$
$49$
Calculate the value
$\color{#FF6800}{ 25 } ^ { \color{#FF6800}{ 2 } } - 24 ^ { 2 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 625 } - 24 ^ { 2 }$
$625 - \color{#FF6800}{ 24 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$625 - \color{#FF6800}{ 576 }$
$\color{#FF6800}{ 625 } \color{#FF6800}{ - } \color{#FF6800}{ 576 }$
$ $ Subtract $ 576 $ from $ 625$
$\color{#FF6800}{ 49 }$
$49$
Calculation using the sum and difference formula
$\color{#FF6800}{ 25 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 24 } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize by using $ A^{2} - B^{2} = (A+B)(A-B)$
$\left ( \color{#FF6800}{ 25 } \color{#FF6800}{ + } \color{#FF6800}{ 24 } \right ) \left ( \color{#FF6800}{ 25 } \color{#FF6800}{ - } \color{#FF6800}{ 24 } \right )$
$\left ( \color{#FF6800}{ 25 } \color{#FF6800}{ + } \color{#FF6800}{ 24 } \right ) \left ( 25 - 24 \right )$
$ $ Add $ 25 $ and $ 24$
$\color{#FF6800}{ 49 } \left ( 25 - 24 \right )$
$49 \left ( \color{#FF6800}{ 25 } \color{#FF6800}{ - } \color{#FF6800}{ 24 } \right )$
$ $ Subtract $ 24 $ from $ 25$
$49 \times \color{#FF6800}{ 1 }$
$49 \color{#FF6800}{ \times } \color{#FF6800}{ 1 }$
$ $ Multiplying any number by 1 does not change the value $ $
$\color{#FF6800}{ 49 }$
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