What is (-3x+1)/(x+1)-(5x+1)/(x^2+x) ?

The solution to (-3x+1)/(x+1)-(5x+1)/(x^2+x) is -(3x+1)/x

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simplify (-3x+1)/(x+1)-(5x+1)/(x^2+x)

simplify

\frac{- 3 x + 1}{x + 1} - \frac{5 x + 1}{x ^{2} + x}

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

Solution steps

\frac{- 3 x + 1}{x + 1} - \frac{5 x + 1}{x ^{2} + x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{( - 3 x + 1 ) x}{x ( x + 1 )} - \frac{5 x + 1}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{( - 3 x + 1 ) x - ( 5 x + 1 )}{x ( x + 1 )}

Simplify

(- 3 x + 1) x - (5 x + 1) : - 3 x^{2} - 4 x - 1

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

Cancel

\frac{- 3 x ^{2} - 4 x - 1}{x ( x + 1 )} : - \frac{3 x + 1}{x}

= - \frac{3 x + 1}{x}

\frac{1}{3} + 8

78 \div 13

\frac{8 + 3 i}{2 - 6 i}

(2^{3} w)^{4}

(7 x + 2 y)^{3}

What is (-3x+1)/(x+1)-(5x+1)/(x^2+x) ?
The solution to (-3x+1)/(x+1)-(5x+1)/(x^2+x) is -(3x+1)/x