What is 2+1/(a+5)-(2a)/(a-5) ?

The solution to 2+1/(a+5)-(2a)/(a-5) is (-9a-55)/((a+5)(a-5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2+1/(a+5)-(2a)/(a-5)

simplify

2 + \frac{1}{a + 5} - \frac{2 a}{a - 5}

\frac{- 9 a - 55}{( a + 5 ) ( a - 5 )}

Solution steps

2 + \frac{1}{a + 5} - \frac{2 a}{a - 5}

Join

\frac{1}{a + 5} - \frac{2 a}{a - 5} : \frac{a - 5 - 2 a ( a + 5 )}{( a + 5 ) ( a - 5 )}

= 2 + \frac{a - 5 - 2 a ( a + 5 )}{( a + 5 ) ( a - 5 )}

Apply the fraction rule:

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

= \frac{2 ( a + 5 ) ( a - 5 ) + a - 5 - 2 a ( a + 5 )}{( a + 5 ) ( a - 5 )}

Simplify

2 (a + 5) (a - 5) + a - 5 - 2 a (a + 5) : - 9 a - 55

= \frac{- 9 a - 55}{( a + 5 ) ( a - 5 )}

81 x^{4} - 16 y^{4}

\frac{9}{75}

\frac{4 x ^{3} y ^{3}}{4 x ^{8} y ^{7}}

1. 9^{2}

- 2 - 9

What is 2+1/(a+5)-(2a)/(a-5) ?
The solution to 2+1/(a+5)-(2a)/(a-5) is (-9a-55)/((a+5)(a-5))