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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{x}{5 - x}

Solution steps

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

Factor

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

= \frac{x ( x + 5 )}{25 - x ^{2}}

Factor

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

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

Apply the commutative law:

5 + x = x + 5

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

Cancel the common factor:

x + 5

= \frac{x}{5 - x}

\frac{4}{8} - \frac{2}{8}

\frac{2 - 3 5}{2 2 + 5}

\frac{40 y ^{14}}{10 y ^{8}}

2 lo g_{4} (2)

lo g_{3} (81)