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

The solution to (3x^2)/(1-x)+x/(x+1) is (3x^3+2x^2+x)/((-x+1)(x+1))

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simplify (3x^2)/(1-x)+x/(x+1)

simplify

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

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

Solution steps

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

Least Common Multiplier of

1 - x, x + 1 : (- x + 1) (x + 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 x^{2} (x + 1) + x (- x + 1) : 3 x^{3} + 2 x^{2} + x

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

(46) (- 5)

(x - \frac{1}{x})^{3}

\frac{x ^{2} + 11 x + 18}{x ^{4} + 9 x ^{3}}

3 x - 6 x

\frac{3}{4 + 3}

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