What is expand (-x^2+16)/((x^2+16)^2) ?

The solution to expand (-x^2+16)/((x^2+16)^2) is (-x^2+16)/(x^4+32x^2+256)

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expand (-x^2+16)/((x^2+16)^2)

expand

\frac{- x ^{2} + 16}{( x ^{2} + 16 ) ^{2}}

\frac{- x ^{2} + 16}{x ^{4} + 32 x ^{2} + 256}

Solution steps

\frac{- x ^{2} + 16}{( x ^{2} + 16 ) ^{2}}

(x^{2} + 16)^{2} = x^{4} + 32 x^{2} + 256

= \frac{- x ^{2} + 16}{x ^{4} + 32 x ^{2} + 256}

\frac{( - 3 x - 15 ) \cdot 2 x ( 2 x ^{2} - 11 x + 5 )}{x ^{3} - 25}

(3 + 2 i)^{6}

(e^{jn t} - e^{- jn t})^{5}

(\frac{2 x ^{3}}{3 y} - \frac{8 w ^{\frac{1}{2}}}{5})^{6}

(x + 1) sin (x)

What is expand (-x^2+16)/((x^2+16)^2) ?
The solution to expand (-x^2+16)/((x^2+16)^2) is (-x^2+16)/(x^4+32x^2+256)