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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

5 \cdot 0

2 + 0

r + r

x^{6} - 8

2 e + 2 \frac{3}{4} - 19

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