Symbol

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Formula
Calculate the value
Answer
Simplify the expression
Answer
$105 ^{ 2 } -10 \times 105+25$
$10000$
Calculate the value
$\color{#FF6800}{ 105 } ^ { \color{#FF6800}{ 2 } } - 10 \times 105 + 25$
 Calculate power 
$\color{#FF6800}{ 11025 } - 10 \times 105 + 25$
$11025 \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ \times } \color{#FF6800}{ 105 } + 25$
 Multiply $- 10$ and $105$
$11025 \color{#FF6800}{ - } \color{#FF6800}{ 1050 } + 25$
$\color{#FF6800}{ 11025 } \color{#FF6800}{ - } \color{#FF6800}{ 1050 } \color{#FF6800}{ + } \color{#FF6800}{ 25 }$
 Calculate the sum or the difference 
$\color{#FF6800}{ 10000 }$
$10000$
Calculation using the perfect square formula
$105 ^ { 2 } - 10 \times 105 + \color{#FF6800}{ 25 }$
 Present as the shape of the power 
$105 ^ { 2 } - 10 \times 105 + \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } }$
$105 ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ \times } \color{#FF6800}{ 105 } + 5 ^ { 2 }$
 Change the term in the middle 
$105 ^ { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 105 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \right ) + 5 ^ { 2 }$
$\color{#FF6800}{ 105 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 105 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } }$
 Organize the expression using $A^{2} ± 2AB + B^2 = (A ± B)^{2}$
$\left ( \color{#FF6800}{ 105 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ 105 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { 2 }$
 Subtract $5$ from $105$
$\color{#FF6800}{ 100 } ^ { 2 }$
$\color{#FF6800}{ 100 } ^ { \color{#FF6800}{ 2 } }$
 Calculate power 
$\color{#FF6800}{ 10000 }$
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