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Calculate the value

Answer

Simplify the expression

Answer

$900$

Calculate the value

$\color{#FF6800}{ 29 } ^ { \color{#FF6800}{ 2 } } + 2 \times 29 + 1$

$ $ Calculate power $ $

$\color{#FF6800}{ 841 } + 2 \times 29 + 1$

$841 + \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 29 } + 1$

$ $ Multiply $ 2 $ and $ 29$

$841 + \color{#FF6800}{ 58 } + 1$

$\color{#FF6800}{ 841 } \color{#FF6800}{ + } \color{#FF6800}{ 58 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$

$ $ Find the sum $ $

$\color{#FF6800}{ 900 }$

$900$

Calculation using the perfect square formula

$29 ^ { 2 } + 2 \times 29 + \color{#FF6800}{ 1 }$

$ $ Present as the shape of the power $ $

$29 ^ { 2 } + 2 \times 29 + \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } }$

$29 ^ { 2 } + \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 29 } + 1 ^ { 2 }$

$ $ Change the term in the middle $ $

$29 ^ { 2 } + \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 29 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } + 1 ^ { 2 }$

$\color{#FF6800}{ 29 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 29 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } }$

$ $ Organize the expression using $ A^{2} ± 2AB + B^2 = (A ± B)^{2}$

$\left ( \color{#FF6800}{ 29 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$

$\left ( \color{#FF6800}{ 29 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) ^ { 2 }$

$ $ Add $ 29 $ and $ 1$

$\color{#FF6800}{ 30 } ^ { 2 }$

$\color{#FF6800}{ 30 } ^ { \color{#FF6800}{ 2 } }$

$ $ Calculate power $ $

$\color{#FF6800}{ 900 }$

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