What is (x^2-25)/(5-x) ?

The solution to (x^2-25)/(5-x) is -x-5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-25)/(5-x)

simplify

\frac{x ^{2} - 25}{5 - x}

- x - 5

Solution steps

\frac{x ^{2} - 25}{5 - x}

Factor

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

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

5 - x = - (x - 5)

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

Cancel the common factor:

x - 5

= \frac{x + 5}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (x + 5)

Apply the distributive law:

- (a + b) = - a - b

- (x + 5) = - x - 5

= - x - 5

- 2 7^{\frac{4}{3}}

(3)^{2} + (- 1)^{2}

(2 x - 2) (3 x + 5)

(- 2 x - 1) (- 3 x^{2} + 6 x + 8)

(3 y^{2} z^{3})^{3} (z^{3} y^{4})^{- 2}