What is 2/((x+4)(x+3))-4/((x+3)(x-1)) ?

The solution to 2/((x+4)(x+3))-4/((x+3)(x-1)) is (-2x-18)/((x+4)(x+3)(x-1))

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simplify 2/((x+4)(x+3))-4/((x+3)(x-1))

simplify

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

\frac{- 2 x - 18}{( x + 4 ) ( x + 3 ) ( x - 1 )}

Solution steps

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

Least Common Multiplier of

(x + 4) (x + 3), (x + 3) (x - 1) : (x + 4) (x + 3) (x - 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x - 1) - 4 (x + 4) : - 2 x - 18

= \frac{- 2 x - 18}{( x + 4 ) ( x + 3 ) ( x - 1 )}

(3 - 5 i) + (6 + 9 i)

\frac{9 - 2 i}{i - 5}

(x - 1) (x - 2) (x + 3) (x + 4)

\frac{\frac{n + 3}{2 n - 6}}{\frac{n + 3}{3 n - 9}}

(x + 1)^{2} - 9

What is 2/((x+4)(x+3))-4/((x+3)(x-1)) ?
The solution to 2/((x+4)(x+3))-4/((x+3)(x-1)) is (-2x-18)/((x+4)(x+3)(x-1))