What is 5/(2x-12)-(20)/(x^2-4x-12) ?

The solution to 5/(2x-12)-(20)/(x^2-4x-12) is 5/(2(x+2))

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simplify 5/(2x-12)-(20)/(x^2-4x-12)

simplify

\frac{5}{2 x - 12} - \frac{20}{x ^{2} - 4 x - 12}

\frac{5}{2 ( x + 2 )}

Solution steps

\frac{5}{2 x - 12} - \frac{20}{x ^{2} - 4 x - 12}

Least Common Multiplier of

2 x - 12, x^{2} - 4 x - 12 : 2 (x - 6) (x + 2)

Adjust Fractions based on the LCM

= \frac{5 ( x + 2 )}{2 ( x - 6 ) ( x + 2 )} - \frac{40}{2 ( x - 6 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{5 ( x + 2 ) - 40}{2 ( x - 6 ) ( x + 2 )}

Simplify

5 (x + 2) - 40 : 5 x - 30

= \frac{5 x - 30}{2 ( x - 6 ) ( x + 2 )}

Cancel

\frac{5 x - 30}{2 ( x - 6 ) ( x + 2 )} : \frac{5}{2 ( x + 2 )}

= \frac{5}{2 ( x + 2 )}

2 \times 1 0^{8}

\frac{3}{7} - \frac{2}{9}

\frac{16 !}{12 ! 4 !}

3 - 3 a^{6}

What is 5/(2x-12)-(20)/(x^2-4x-12) ?
The solution to 5/(2x-12)-(20)/(x^2-4x-12) is 5/(2(x+2))