What is a/(a+2)-(a+10)/(a^2-4) ?

The solution to a/(a+2)-(a+10)/(a^2-4) is (a-5)/(a-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify a/(a+2)-(a+10)/(a^2-4)

simplify

\frac{a}{a + 2} - \frac{a + 10}{a ^{2} - 4}

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

Solution steps

\frac{a}{a + 2} - \frac{a + 10}{a ^{2} - 4}

Least Common Multiplier of

a + 2, a^{2} - 4 : (a + 2) (a - 2)

Adjust Fractions based on the LCM

= \frac{a ( a - 2 )}{( a + 2 ) ( a - 2 )} - \frac{a + 10}{( a + 2 ) ( a - 2 )}

Apply the fraction rule:

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

= \frac{a ( a - 2 ) - ( a + 10 )}{( a + 2 ) ( a - 2 )}

Simplify

a (a - 2) - (a + 10) : a^{2} - 3 a - 10

= \frac{a ^{2} - 3 a - 10}{( a + 2 ) ( a - 2 )}

Cancel

\frac{a ^{2} - 3 a - 10}{( a + 2 ) ( a - 2 )} : \frac{a - 5}{a - 2}

= \frac{a - 5}{a - 2}

n^{2} - 11 n = - 24

8 x - 4 > 15

- 14 - 3 d < 15 d + 22

1 - 4 x^{2}

6 (\frac{128}{3} - \frac{256}{14})

What is a/(a+2)-(a+10)/(a^2-4) ?
The solution to a/(a+2)-(a+10)/(a^2-4) is (a-5)/(a-2)