What is 7/x-6/(x+3) ?

The solution to 7/x-6/(x+3) is (x+21)/(x(x+3))

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simplify 7/x-6/(x+3)

simplify

\frac{7}{x} - \frac{6}{x + 3}

\frac{x + 21}{x ( x + 3 )}

Solution steps

\frac{7}{x} - \frac{6}{x + 3}

Least Common Multiplier of

x, x + 3 : x (x + 3)

Adjust Fractions based on the LCM

= \frac{7 ( x + 3 )}{x ( x + 3 )} - \frac{6 x}{x ( x + 3 )}

Apply the fraction rule:

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

= \frac{7 ( x + 3 ) - 6 x}{x ( x + 3 )}

Simplify

7 (x + 3) - 6 x : x + 21

= \frac{x + 21}{x ( x + 3 )}

(3 x + 8) (3 x - 8)

(5 x - 8)^{2}

7 x^{2} - 8 x

\frac{ln ( \frac{1}{2} )}{5730}

\frac{150}{100}