What is 3/(2x-4)-1/(x+2)-(x+10)/(2x^2-8) ?

The solution to 3/(2x-4)-1/(x+2)-(x+10)/(2x^2-8) is 0

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simplify 3/(2x-4)-1/(x+2)-(x+10)/(2x^2-8)

simplify

\frac{3}{2 x - 4} - \frac{1}{x + 2} - \frac{x + 10}{2 x ^{2} - 8}

0

Solution steps

\frac{3}{2 x - 4} - \frac{1}{x + 2} - \frac{x + 10}{2 x ^{2} - 8}

Least Common Multiplier of

2 x - 4, x + 2, 2 x^{2} - 8 : 2 (x - 2) (x + 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (x + 2) - 2 (x - 2) - (x + 10) : 0

= \frac{0}{2 ( x - 2 ) ( x + 2 )}

Apply rule

\frac{0}{a} = 0

a \neq = 0

= 0

(x - 1)^{2} - 16 y^{2}

5. 3^{2}

(5 x y)^{5}

\frac{5 x ^{2}}{x ^{2}}

\frac{- 18 n ^{2} m ^{4} w ^{4}}{- 3 n m ^{3} w ^{5}}

What is 3/(2x-4)-1/(x+2)-(x+10)/(2x^2-8) ?
The solution to 3/(2x-4)-1/(x+2)-(x+10)/(2x^2-8) is 0