What is 2/(x+10)-3/(x+4) ?

The solution to 2/(x+10)-3/(x+4) is (-x-22)/((x+4)(x+10))

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simplify 2/(x+10)-3/(x+4)

simplify

\frac{2}{x + 10} - \frac{3}{x + 4}

\frac{- x - 22}{( x + 4 ) ( x + 10 )}

Solution steps

\frac{2}{x + 10} - \frac{3}{x + 4}

Least Common Multiplier of

x + 10, x + 4 : (x + 4) (x + 10)

Adjust Fractions based on the LCM

= \frac{2 ( x + 4 )}{( x + 4 ) ( x + 10 )} - \frac{3 ( x + 10 )}{( x + 4 ) ( x + 10 )}

Apply the fraction rule:

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

= \frac{2 ( x + 4 ) - 3 ( x + 10 )}{( x + 4 ) ( x + 10 )}

Simplify

2 (x + 4) - 3 (x + 10) : - x - 22

= \frac{- x - 22}{( x + 4 ) ( x + 10 )}

arctan (in f ini t y)

\frac{x - 4}{4 - x}

3 (4 x + 2)

(w + 4)^{3}

(x + 2) - 2

What is 2/(x+10)-3/(x+4) ?
The solution to 2/(x+10)-3/(x+4) is (-x-22)/((x+4)(x+10))