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

The solution to x/(x+4)-(2x)/(x+2) is (-x^2-6x)/((x+4)(x+2))

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

simplify

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

\frac{- x ^{2} - 6 x}{( x + 4 ) ( x + 2 )}

Solution steps

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

Least Common Multiplier of

x + 4, x + 2 : (x + 4) (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (x + 2) - 2 x (x + 4) : - x^{2} - 6 x

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

sin^{2} (x) + tan^{2} (x) + cos^{2} (x)

(4 s + 2) (5 s^{2} + 10 s + 3)

x^{2} + \frac{2}{x}

\frac{cos ( x ) + cos ( 3 x )}{cos ^{2} ( x ) - sin ^{2} ( x )}

What is x/(x+4)-(2x)/(x+2) ?
The solution to x/(x+4)-(2x)/(x+2) is (-x^2-6x)/((x+4)(x+2))