What is ((9^{n+2}+10*9^n))/((9^{n+1)*11-8*9^n)} ?

The solution to ((9^{n+2}+10*9^n))/((9^{n+1)*11-8*9^n)} is 1

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simplify ((9^{n+2}+109^n))/((9^{n+1)11-8*9^n)}

simplify

\frac{( 9 ^{n + 2} + 10 \cdot 9 ^{n} )}{( 9 ^{n + 1} \cdot 11 - 8 \cdot 9 ^{n} )}

1

Solution steps

\frac{9 ^{n + 2} + 10 \cdot 9 ^{n}}{9 ^{n + 1} \cdot 11 - 8 \cdot 9 ^{n}}

Factor

9^{n + 2} + 10 9^{n} : 91 \cdot 9^{n}

= \frac{91 \cdot 9 ^{n}}{9 ^{n + 1} \cdot 11 - 8 \cdot 9 ^{n}}

Factor

9^{n + 1} 11 - 8 9^{n} : 91 \cdot 9^{n}

= \frac{91 \cdot 9 ^{n}}{91 \cdot 9 ^{n}}

Cancel

\frac{91 \cdot 9 ^{n}}{91 \cdot 9 ^{n}} : 1

= 1

x + 3 + x - 3

2 x^{2} + 9 x y + 9 y^{2}

(4 b + 6 y)^{3}

4 \cdot (\frac{1}{y + 1})^{6}

(\frac{2 y - 1}{3 y})^{3}

What is ((9^{n+2}+10*9^n))/((9^{n+1)*11-8*9^n)} ?
The solution to ((9^{n+2}+10*9^n))/((9^{n+1)*11-8*9^n)} is 1