What is expand 1/(1+x^2)-(1/4 x^2-x+5/4) ?

The solution to expand 1/(1+x^2)-(1/4 x^2-x+5/4) is 1/(1+x^2)-(x^2)/4+x-5/4

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expand 1/(1+x^2)-(1/4 x^2-x+5/4)

expand

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

\frac{1}{1 + x ^{2}} - \frac{x ^{2}}{4} + x - \frac{5}{4}

Solution steps

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

Expand

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

= \frac{1}{1 + x ^{2}} - \frac{1}{4} x^{2} + x - \frac{5}{4}

Simplify

\frac{1}{4} x^{2} : \frac{x ^{2}}{4}

= \frac{1}{1 + x ^{2}} - \frac{x ^{2}}{4} + x - \frac{5}{4}

6 (sin (2 x) + sin (x))

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\frac{1}{24} x (x + 2) (x + 1) (x - 1)

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

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What is expand 1/(1+x^2)-(1/4 x^2-x+5/4) ?
The solution to expand 1/(1+x^2)-(1/4 x^2-x+5/4) is 1/(1+x^2)-(x^2)/4+x-5/4