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Formula
Calculate the value
Answer
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Simplify the expression
Answer
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$24 ^{ 2 } -8 \times 24+4 ^{ 2 }$
$400$
Calculate the value
$\color{#FF6800}{ 24 } ^ { \color{#FF6800}{ 2 } } - 8 \times 24 + 4 ^ { 2 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 576 } - 8 \times 24 + 4 ^ { 2 }$
$576 \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 24 } + 4 ^ { 2 }$
$ $ Multiply $ - 8 $ and $ 24$
$576 \color{#FF6800}{ - } \color{#FF6800}{ 192 } + 4 ^ { 2 }$
$576 - 192 + \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$576 - 192 + \color{#FF6800}{ 16 }$
$\color{#FF6800}{ 576 } \color{#FF6800}{ - } \color{#FF6800}{ 192 } \color{#FF6800}{ + } \color{#FF6800}{ 16 }$
$ $ Calculate the sum or the difference $ $
$\color{#FF6800}{ 400 }$
$400$
Calculation using the perfect square formula
$24 ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 24 } + 4 ^ { 2 }$
$ $ Change the term in the middle $ $
$24 ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 24 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } \right ) + 4 ^ { 2 }$
$\color{#FF6800}{ 24 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 24 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize the expression using $ A^{2} ± 2AB + B^2 = (A ± B)^{2}$
$\left ( \color{#FF6800}{ 24 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ 24 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) ^ { 2 }$
$ $ Subtract $ 4 $ from $ 24$
$\color{#FF6800}{ 20 } ^ { 2 }$
$\color{#FF6800}{ 20 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$\color{#FF6800}{ 400 }$
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