What is expand (1-x^2)sin(x/(1-x^2)) ?

The solution to expand (1-x^2)sin(x/(1-x^2)) is sin(x/(1-x^2))-sin(x/(1-x^2))x^2

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expand (1-x^2)sin(x/(1-x^2))

expand

(1 - x^{2}) sin (\frac{x}{1 - x ^{2}})

sin (\frac{x}{1 - x ^{2}}) - sin (\frac{x}{1 - x ^{2}}) x^{2}

Solution steps

(1 - x^{2}) sin (\frac{x}{1 - x ^{2}})

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

Apply the distributive law:

a (b - c) = ab - a c

sin (\frac{x}{1 - x ^{2}}) (1 - x^{2}) = sin (\frac{x}{1 - x ^{2}}) \cdot 1 - sin (\frac{x}{1 - x ^{2}}) x^{2}

= sin (\frac{x}{1 - x ^{2}}) \cdot 1 - sin (\frac{x}{1 - x ^{2}}) x^{2}

Apply rule:

a \cdot 1 = a

sin (\frac{x}{1 - x ^{2}}) \cdot 1 = sin (\frac{x}{1 - x ^{2}})

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

2 (5 - 7)

(x + 10) e^{2} x

\frac{( e ^{x} + 3 e ^{- 3 x} )}{( e ^{x} - e ^{- 3 x} ) ^{3}}

\frac{6 x ^{2} + 50}{( x ^{2} + 4 ) \cdot ( x + 3 )}

det (2^{i}) (i + \frac{j}{2})

What is expand (1-x^2)sin(x/(1-x^2)) ?
The solution to expand (1-x^2)sin(x/(1-x^2)) is sin(x/(1-x^2))-sin(x/(1-x^2))x^2