What is 1/(z+4)+3/(z-5) ?

The solution to 1/(z+4)+3/(z-5) is (4z+7)/((z+4)(z-5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(z+4)+3/(z-5)

simplify

\frac{1}{z + 4} + \frac{3}{z - 5}

\frac{4 z + 7}{( z + 4 ) ( z - 5 )}

Solution steps

\frac{1}{z + 4} + \frac{3}{z - 5}

Least Common Multiplier of

z + 4, z - 5 : (z + 4) (z - 5)

Adjust Fractions based on the LCM

= \frac{z - 5}{( z + 4 ) ( z - 5 )} + \frac{3 ( z + 4 )}{( z + 4 ) ( z - 5 )}

Apply the fraction rule:

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

= \frac{z - 5 + 3 ( z + 4 )}{( z + 4 ) ( z - 5 )}

Simplify

z - 5 + 3 (z + 4) : 4 z + 7

= \frac{4 z + 7}{( z + 4 ) ( z - 5 )}

4 \frac{4}{8}

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

(7 t^{2} + 6 t - 1) - (3 t - 5 t^{2} + 4 - t^{3})

\frac{2 + 4 i}{1 - i} + 2 i (3 - i)

\frac{1 - ( 3 + i ) ^{2} ( 1 - 2 i )}{2 i ^{77} - i ^{726}}

What is 1/(z+4)+3/(z-5) ?
The solution to 1/(z+4)+3/(z-5) is (4z+7)/((z+4)(z-5))