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

The solution to x^2+((2n-1))/((x^2-2n+1)) is (x^4-2nx^2+x^2+2n-1)/(x^2-2n+1)

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simplify x^2+((2n-1))/((x^2-2n+1))

simplify

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

\frac{x ^{4} - 2 n x ^{2} + x ^{2} + 2 n - 1}{x ^{2} - 2 n + 1}

Solution steps

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

Apply the fraction rule:

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

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

Simplify

x^{2} (x^{2} - 2 n + 1) + 2 n - 1 : x^{4} - 2 n x^{2} + x^{2} + 2 n - 1

= \frac{x ^{4} - 2 n x ^{2} + x ^{2} + 2 n - 1}{x ^{2} - 2 n + 1}

(w^{3})^{- 4}

(x - a)^{- 1}

l^{- 1} \frac{1}{s ( s - 3 )}

e^{\frac{- 1}{z ^{4}}}

121 x^{4} - 81 y^{6} z^{4}

What is x^2+((2n-1))/((x^2-2n+1)) ?
The solution to x^2+((2n-1))/((x^2-2n+1)) is (x^4-2nx^2+x^2+2n-1)/(x^2-2n+1)