What is ((11^{x+2}-55*11^{x-1}))/((11^x*116)) ?

The solution to ((11^{x+2}-55*11^{x-1}))/((11^x*116)) is 1

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simplify ((11^{x+2}-5511^{x-1}))/((11^x116))

simplify

\frac{( 1 1 ^{x + 2} - 55 \cdot 1 1 ^{x - 1} )}{( 1 1 ^{x} \cdot 116 )}

1

Solution steps

\frac{1 1 ^{x + 2} - 55 \cdot 1 1 ^{x - 1}}{1 1 ^{x} \cdot 116}

Factor

1 1^{x + 2} - 55 \cdot 1 1^{x - 1} : 1 1^{x - 1} \cdot 1276

= \frac{1 1 ^{x - 1} \cdot 1276}{1 1 ^{x} \cdot 116}

Factor the number:

1276 = 116 \cdot 11

= \frac{1 1 ^{x - 1} \cdot 116 \cdot 11}{1 1 ^{x} \cdot 116}

Cancel the common factor:

116

= \frac{1 1 ^{x - 1} \cdot 11}{1 1 ^{x}}

Simplify

\frac{1 1 ^{x - 1}}{1 1 ^{x}} : \frac{1}{11}

= \frac{11}{11}

Apply the fraction rule:

\frac{a}{a} = 1

= 1

1 + sin^{4} (\frac{- cos ( a )}{1 + sin ( a ) + cos ( a )})

(8 tan (x))^{2} + (7 cot (x))^{2} + 57

[\frac{( n ( n + 1 ) )}{2}]^{2}

(- 2 x - 2 x) + (3 x - 12 x)

2 (n + m)

What is ((11^{x+2}-55*11^{x-1}))/((11^x*116)) ?
The solution to ((11^{x+2}-55*11^{x-1}))/((11^x*116)) is 1