What is ((5^{n+3}-6*5^{n+1}))/((9*5^n-2^2*5^n)) ?

The solution to ((5^{n+3}-6*5^{n+1}))/((9*5^n-2^2*5^n)) is 19

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simplify ((5^{n+3}-65^{n+1}))/((95^n-2^2*5^n))

simplify

\frac{( 5 ^{n + 3} - 6 \cdot 5 ^{n + 1} )}{( 9 \cdot 5 ^{n} - 2 ^{2} \cdot 5 ^{n} )}

19

Solution steps

\frac{5 ^{n + 3} - 6 \cdot 5 ^{n + 1}}{9 \cdot 5 ^{n} - 2 ^{2} \cdot 5 ^{n}}

Simplify

9 \cdot 5^{n} - 2^{2} \cdot 5^{n} : 5^{1 + n}

= \frac{5 ^{n + 3} - 6 \cdot 5 ^{n + 1}}{5 ^{1 + n}}

Factor

5^{n + 3} - 6 \cdot 5^{n + 1} : 5^{n + 1} \cdot 19

= \frac{5 ^{n + 1} \cdot 19}{5 ^{1 + n}}

Simplify

\frac{5 ^{n + 1}}{5 ^{1 + n}} : 1

= 19

(x + y)^{3} - (x^{3} + y^{3})

- 3 (4 x + (- 2) y) - 2 (x + 3 y) - 2 (2 x + 6 y)

(x^{4})^{2} \cdot (x^{4})^{- 2}

(3 x - 1)^{3} + (x - 4)^{3}

5 x^{4} - 80 y^{4}

What is ((5^{n+3}-6*5^{n+1}))/((9*5^n-2^2*5^n)) ?
The solution to ((5^{n+3}-6*5^{n+1}))/((9*5^n-2^2*5^n)) is 19