What is 7/x-6/(x+1) ?

The solution to 7/x-6/(x+1) is (x+7)/(x(x+1))

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simplify 7/x-6/(x+1)

simplify

\frac{7}{x} - \frac{6}{x + 1}

\frac{x + 7}{x ( x + 1 )}

Solution steps

\frac{7}{x} - \frac{6}{x + 1}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{7 ( x + 1 )}{x ( x + 1 )} - \frac{6 x}{x ( x + 1 )}

Apply the fraction rule:

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

= \frac{7 ( x + 1 ) - 6 x}{x ( x + 1 )}

Simplify

7 (x + 1) - 6 x : x + 7

= \frac{x + 7}{x ( x + 1 )}

(1 - 2 i) + (- 2 - i)

27 - 27 x + 9 x^{2} - x^{3}

\frac{6}{7} \div \frac{4}{5}

(2 x - 5) (3 x - 4)

\frac{23}{7}