What is (25-a^2)/(3a-15) ?

The solution to (25-a^2)/(3a-15) is -(5+a)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (25-a^2)/(3a-15)

simplify

\frac{25 - a ^{2}}{3 a - 15}

- \frac{5 + a}{3}

Solution steps

\frac{25 - a ^{2}}{3 a - 15}

Factor

25 - a^{2} : (5 + a) (5 - a)

= \frac{( 5 + a ) ( 5 - a )}{3 a - 15}

Factor

3 a - 15 : 3 (a - 5)

= \frac{( 5 + a ) ( 5 - a )}{3 ( a - 5 )}

(5 + a) (5 - a) = - (5 + a) (a - 5)

= \frac{- ( 5 + a ) ( a - 5 )}{3 ( a - 5 )}

Cancel the common factor:

a - 5

= \frac{- ( 5 + a )}{3}

Apply the fraction rule:

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

= - \frac{5 + a}{3}

15 x^{2} - 25 x - 10

1098

9 - 3 i

25 x^{3} + 150 x^{2} - 9 x - 54

x^{2} + 13 x + \frac{169}{4}