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Factorize by the sum and difference formula
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$\left( 5 ^{ 2 } +1 \right) \left( 5 ^{ 4 } +1 \right)$
$16276$
Calculate the value
$\left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } + 1 \right ) \left ( 5 ^ { 4 } + 1 \right )$
$ $ Calculate power $ $
$\left ( \color{#FF6800}{ 25 } + 1 \right ) \left ( 5 ^ { 4 } + 1 \right )$
$\left ( \color{#FF6800}{ 25 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$ $ Add $ 25 $ and $ 1$
$\color{#FF6800}{ 26 } \left ( 5 ^ { 4 } + 1 \right )$
$26 \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } + 1 \right )$
$ $ Calculate power $ $
$26 \left ( \color{#FF6800}{ 625 } + 1 \right )$
$26 \left ( \color{#FF6800}{ 625 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Add $ 625 $ and $ 1$
$26 \times \color{#FF6800}{ 626 }$
$\color{#FF6800}{ 26 } \color{#FF6800}{ \times } \color{#FF6800}{ 626 }$
$ $ Multiply $ 26 $ and $ 626$
$\color{#FF6800}{ 16276 }$
$\dfrac { 1 } { 24 } \left ( 5 ^ { 8 } - 1 \right )$
Calculation using the sum and difference formula
$\left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$ $ Multiply $ (5 ^ { 2 }-1) $ to the front and $ \dfrac{1}{5 ^ { 2 }-1} $ to keep the original expression $ $
$\color{#FF6800}{ \dfrac { 1 } { 5 ^ { 2 } - 1 } } \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$ $ Expand the expression using $ \left(a - b\right)\left(a + b\right) = a^{2} - b^{2}$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } - 1 ^ { 2 } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$ $ Calculate the power of the power $ $
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } - 1 ^ { 2 } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( 5 ^ { 4 } - \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$ $ Calculate power $ $
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( 5 ^ { 4 } - \color{#FF6800}{ 1 } \right ) \left ( 5 ^ { 4 } + 1 \right )$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Expand the expression using $ \left(a - b\right)\left(a + b\right) = a^{2} - b^{2}$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } \right )$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } \right ) ^ { \color{#FF6800}{ 2 } } - 1 ^ { 2 } \right )$
$ $ Calculate the power of the power $ $
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 8 } } - 1 ^ { 2 } \right )$
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( 5 ^ { 8 } - \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Calculate power $ $
$\dfrac { 1 } { 5 ^ { 2 } - 1 } \left ( 5 ^ { 8 } - \color{#FF6800}{ 1 } \right )$
$\dfrac { 1 } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } - 1 } \left ( 5 ^ { 8 } - 1 \right )$
$ $ Calculate power $ $
$\dfrac { 1 } { \color{#FF6800}{ 25 } - 1 } \left ( 5 ^ { 8 } - 1 \right )$
$\dfrac { 1 } { \color{#FF6800}{ 25 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \left ( 5 ^ { 8 } - 1 \right )$
$ $ Subtract $ 1 $ from $ 25$
$\dfrac { 1 } { \color{#FF6800}{ 24 } } \left ( 5 ^ { 8 } - 1 \right )$
Solution search results
search-thumbnail-If the sum of two consecutive 
numbers is $45$ and one number is $X$ 
.This statement in the form of 
equation $1s:$ 
$\left(1$ Point) $\right)$ 
$○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ 
$○sx+1ef\left(x+2$ $r1gnt\right)=145s$ 
$sx+1x=45s$
7th-9th grade
Algebra
search-thumbnail-$s|ef\left(-1n$ $\left($ }\right)^{50}\ $\right)$ \ | | is\ equal\ to\ $S$ 
$s1S$ 
$S-1S$ 
$s2S$ 
$s50s$
7th-9th grade
Other
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