How do you simplify $25^{n} - 5^{n + 1}$ $25^ { n } - 5^ { n + 1}$ ?

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Answer 1 · 2017-09-03T14:04:13

$5^{n} (5^{n} - 5)$ $5^(n) (5^(n) - 5)$

We have: $25^{n} - 5^{n + 1}$ $25^(n) - 5^(n + 1)$

Let's express $25$ $25$ in terms of $5$ $5$ :

$= {(5^{2})}^{n} - 5^{n + 1}$ $= (5^(2))^(n) - 5^(n + 1)$

Using the laws of exponents:

$= {(5^{n})}^{2} - 5 \cdot 5^{n}$ $= (5^(n))^(2) - 5 cdot 5^(n)$

$= 5^{n} (5^{n} - 5)$ $= 5^(n) (5^(n) - 5)$

How do you simplify 25n−5n+125^ { n } - 5^ { n + 1}?