en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x/(x^2+6x-16)-5/(x+8)

Solution

simplify

\frac{x}{x ^{2} + 6 x - 16} - \frac{5}{x + 8}

Solution

\frac{- 4 x + 10}{( x - 2 ) ( x + 8 )}

Solution steps

\frac{x}{x ^{2} + 6 x - 16} - \frac{5}{x + 8}

Least Common Multiplier of

x^{2} + 6 x - 16, x + 8 : (x - 2) (x + 8)

Adjust Fractions based on the LCM

= \frac{x}{( x - 2 ) ( x + 8 )} - \frac{5 ( x - 2 )}{( x - 2 ) ( x + 8 )}

Apply the fraction rule:

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

= \frac{x - 5 ( x - 2 )}{( x - 2 ) ( x + 8 )}

Simplify

x - 5 (x - 2) : - 4 x + 10

= \frac{- 4 x + 10}{( x - 2 ) ( x + 8 )}

Popular Examples

factor 12x+27 factor

12 x + 27

simplify 3i(-2+4i)simplify

3 i (- 2 + 4 i)

simplify (21+9i)-(13-2i)simplify

(21 + 9 i) - (13 - 2 i)

simplify 1/20+1/5 simplify

\frac{1}{20} + \frac{1}{5}

simplify (7/9)/(4/3+8/12*2/5)simplify

\frac{\frac{7}{9}}{\frac{4}{3} + \frac{8}{12} \cdot \frac{2}{5}}

Frequently Asked Questions (FAQ)

What is x/(x^2+6x-16)-5/(x+8) ?
The solution to x/(x^2+6x-16)-5/(x+8) is (-4x+10)/((x-2)(x+8))