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

The solution to (x+1)*(x/((1-x^2))) is x/(1-x)

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

simplify

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

\frac{x}{1 - x}

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the fraction rule:

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

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

Factor

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

= \frac{( x + 1 ) x}{( 1 + x ) ( 1 - x )}

Apply the commutative law:

1 + x = x + 1

= \frac{( x + 1 ) x}{( x + 1 ) ( 1 - x )}

Cancel the common factor:

x + 1

= \frac{x}{1 - x}

(\frac{t + 1}{t})^{2}

(\frac{x ^{5}}{y ^{5}}) + (\frac{y ^{5}}{x ^{5}})

\frac{5}{6} x - \frac{\frac{1}{311}}{3}

324 l^{6} m^{2} - 64 l^{2} m^{6}

\frac{11 - ( - 4 ) ( x - 11 )}{4}