What is expand (-2y^3x+2yx^3)/((1+y^2x^2)^2) ?

The solution to expand (-2y^3x+2yx^3)/((1+y^2x^2)^2) is (-2y^3x+2yx^3)/(1+2y^2x^2+y^4x^4)

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expand (-2y^3x+2yx^3)/((1+y^2x^2)^2)

expand

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

\frac{- 2 y ^{3} x + 2 y x ^{3}}{1 + 2 y ^{2} x ^{2} + y ^{4} x ^{4}}

Solution steps

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

(1 + y^{2} x^{2})^{2} = 1 + 2 y^{2} x^{2} + y^{4} x^{4}

= \frac{- 2 y ^{3} x + 2 y x ^{3}}{1 + 2 y ^{2} x ^{2} + y ^{4} x ^{4}}

- 3 (7 + 5)

(x + 2)^{2} (x - 2)

(2 cos (x) - 2) (2 sin (x) + 2)

(1 - p + p \times e^{t})^{3}

(2 x y e^{x^{2}} + ln (y)) d x + (e^{x^{2}} + \frac{x}{y}) d y

What is expand (-2y^3x+2yx^3)/((1+y^2x^2)^2) ?
The solution to expand (-2y^3x+2yx^3)/((1+y^2x^2)^2) is (-2y^3x+2yx^3)/(1+2y^2x^2+y^4x^4)