What is b/(b^2-25)+5/(b+5)-6/b ?

The solution to b/(b^2-25)+5/(b+5)-6/b is (-25b+150)/(b(b+5)(b-5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify b/(b^2-25)+5/(b+5)-6/b

simplify

\frac{b}{b ^{2} - 25} + \frac{5}{b + 5} - \frac{6}{b}

\frac{- 25 b + 150}{b ( b + 5 ) ( b - 5 )}

Solution steps

\frac{b}{b ^{2} - 25} + \frac{5}{b + 5} - \frac{6}{b}

Least Common Multiplier of

b^{2} - 25, b + 5, b : b (b + 5) (b - 5)

Adjust Fractions based on the LCM

= \frac{b ^{2}}{b ( b + 5 ) ( b - 5 )} + \frac{5 b ( b - 5 )}{b ( b + 5 ) ( b - 5 )} - \frac{6 ( b + 5 ) ( b - 5 )}{b ( b + 5 ) ( b - 5 )}

Apply the fraction rule:

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

= \frac{b ^{2} + 5 b ( b - 5 ) - 6 ( b + 5 ) ( b - 5 )}{b ( b + 5 ) ( b - 5 )}

Simplify

b^{2} + 5 b (b - 5) - 6 (b + 5) (b - 5) : - 25 b + 150

= \frac{- 25 b + 150}{b ( b + 5 ) ( b - 5 )}

1 - \frac{2}{7}

p^{2} - q^{2}

ln (1.5)

lo g_{5} (16)

3 ln (3) - ln (9)

What is b/(b^2-25)+5/(b+5)-6/b ?
The solution to b/(b^2-25)+5/(b+5)-6/b is (-25b+150)/(b(b+5)(b-5))