What is expand (10(2n-1))/((2n+1)!) ?

The solution to expand (10(2n-1))/((2n+1)!) is (20n)/((2n+1)!)-(10)/((2n+1)!)

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expand (10(2n-1))/((2n+1)!)

expand

\frac{10 ( 2 n - 1 )}{( 2 n + 1 ) !}

\frac{20 n}{( 2 n + 1 ) !} - \frac{10}{( 2 n + 1 ) !}

Solution steps

\frac{10 ( 2 n - 1 )}{( 2 n + 1 ) !}

Expand

10 (2 n - 1) : 20 n - 10

= \frac{20 n - 10}{( 2 n + 1 ) !}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{20 n - 10}{( 2 n + 1 ) !} = \frac{20 n}{( 2 n + 1 ) !} - \frac{10}{( 2 n + 1 ) !}

= \frac{20 n}{( 2 n + 1 ) !} - \frac{10}{( 2 n + 1 ) !}

e^{x} (e^{2 x} + 1)^{3}

3 (20 - x = 44)

\frac{a ( 20 - 6 π )}{12 - 3 π}

\frac{( 3 + 2 x ) ^{3}}{x - 1}

, 3 (2 x + 2) 74 x - 10

What is expand (10(2n-1))/((2n+1)!) ?
The solution to expand (10(2n-1))/((2n+1)!) is (20n)/((2n+1)!)-(10)/((2n+1)!)