What is (2x)/(x^2-16)-1/(x-4) ?

The solution to (2x)/(x^2-16)-1/(x-4) is 1/(x+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x)/(x^2-16)-1/(x-4)

simplify

\frac{2 x}{x ^{2} - 16} - \frac{1}{x - 4}

\frac{1}{x + 4}

Solution steps

\frac{2 x}{x ^{2} - 16} - \frac{1}{x - 4}

Least Common Multiplier of

x^{2} - 16, x - 4 : (x + 4) (x - 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

Cancel the common factor:

x - 4

= \frac{1}{x + 4}

(sec (x) - 1) (sec (x) + 1)

lo g_{10} (\frac{a b ^{2} c}{4})

\frac{1}{2} \cdot \frac{1}{8}

\frac{5 ^{3}}{5 ^{d}}

\frac{- 112}{3 \times ( - \frac{41}{5} )}

What is (2x)/(x^2-16)-1/(x-4) ?
The solution to (2x)/(x^2-16)-1/(x-4) is 1/(x+4)