What is expand ((-1)^{n+1}(-4)^n)/((n+1)4^n) ?

The solution to expand ((-1)^{n+1}(-4)^n)/((n+1)4^n) is ((-4)^n(-1)^{n+1})/(4^nn+4^n)

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expand ((-1)^{n+1}(-4)^n)/((n+1)4^n)

expand

\frac{( - 1 ) ^{n + 1} ( - 4 ) ^{n}}{( n + 1 ) 4 ^{n}}

\frac{( - 4 ) ^{n} ( - 1 ) ^{n + 1}}{4 ^{n} n + 4 ^{n}}

Solution steps

\frac{( - 1 ) ^{n + 1} ( - 4 ) ^{n}}{( n + 1 ) \cdot 4 ^{n}}

Expand

(n + 1) \cdot 4^{n} : 4^{n} n + 4^{n}

= \frac{( - 4 ) ^{n} ( - 1 ) ^{n + 1}}{4 ^{n} n + 4 ^{n}}

(8 - 2)^{2}

(x + 2 + 2)^{2}

4 (210 - 32)

\frac{19 x - 13}{( x - 9 ) ( 4 x + 9 )}

\frac{1787}{2500 \cdot x \cdot ( x - 7 ) \cdot ( 5 \cdot s ^{2} + 2 \cdot s + 20 )}

What is expand ((-1)^{n+1}(-4)^n)/((n+1)4^n) ?
The solution to expand ((-1)^{n+1}(-4)^n)/((n+1)4^n) is ((-4)^n(-1)^{n+1})/(4^nn+4^n)