What is expand (n(n+1)+1)/(x^2) ?

The solution to expand (n(n+1)+1)/(x^2) is (n^2)/(x^2)+n/(x^2)+1/(x^2)

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expand (n(n+1)+1)/(x^2)

expand

\frac{n ( n + 1 ) + 1}{x ^{2}}

\frac{n ^{2}}{x ^{2}} + \frac{n}{x ^{2}} + \frac{1}{x ^{2}}

Solution steps

\frac{n ( n + 1 ) + 1}{x ^{2}}

Expand

n (n + 1) + 1 : n^{2} + n + 1

= \frac{n ^{2} + n + 1}{x ^{2}}

Apply the fraction rule:

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

\frac{n ^{2} + n + 1}{x ^{2}} = \frac{n ^{2}}{x ^{2}} + \frac{n}{x ^{2}} + \frac{1}{x ^{2}}

= \frac{n ^{2}}{x ^{2}} + \frac{n}{x ^{2}} + \frac{1}{x ^{2}}

sin (πn (2 k + 1))

(0, - 2, - 3) (2, 2, x)

\frac{3 x + 5}{( 4 x + 2 ) ( x - 1 )}

(1) 1000000

e^{2 (n l n (n) - n)}

What is expand (n(n+1)+1)/(x^2) ?
The solution to expand (n(n+1)+1)/(x^2) is (n^2)/(x^2)+n/(x^2)+1/(x^2)