What is 3/(x+4)-1/(x+6) ?

The solution to 3/(x+4)-1/(x+6) is (2x+14)/((x+4)(x+6))

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simplify 3/(x+4)-1/(x+6)

simplify

\frac{3}{x + 4} - \frac{1}{x + 6}

\frac{2 x + 14}{( x + 4 ) ( x + 6 )}

Solution steps

\frac{3}{x + 4} - \frac{1}{x + 6}

Least Common Multiplier of

x + 4, x + 6 : (x + 4) (x + 6)

Adjust Fractions based on the LCM

= \frac{3 ( x + 6 )}{( x + 4 ) ( x + 6 )} - \frac{x + 4}{( x + 4 ) ( x + 6 )}

Apply the fraction rule:

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

= \frac{3 ( x + 6 ) - ( x + 4 )}{( x + 4 ) ( x + 6 )}

Simplify

3 (x + 6) - (x + 4) : 2 x + 14

= \frac{2 x + 14}{( x + 4 ) ( x + 6 )}

15 \times 8

\frac{7}{x + 2} + \frac{3}{x ^{2} - 4}

\frac{99}{11}

0 \div 5

lo g_{3} (90)

What is 3/(x+4)-1/(x+6) ?
The solution to 3/(x+4)-1/(x+6) is (2x+14)/((x+4)(x+6))