What is 5/(y+10)+(4y)/(y^2+12y+20) ?

The solution to 5/(y+10)+(4y)/(y^2+12y+20) is (9y+10)/((y+2)(y+10))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/(y+10)+(4y)/(y^2+12y+20)

simplify

\frac{5}{y + 10} + \frac{4 y}{y ^{2} + 12 y + 20}

\frac{9 y + 10}{( y + 2 ) ( y + 10 )}

Solution steps

\frac{5}{y + 10} + \frac{4 y}{y ^{2} + 12 y + 20}

Least Common Multiplier of

y + 10, y^{2} + 12 y + 20 : (y + 2) (y + 10)

Adjust Fractions based on the LCM

= \frac{5 ( y + 2 )}{( y + 2 ) ( y + 10 )} + \frac{4 y}{( y + 2 ) ( y + 10 )}

Apply the fraction rule:

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

= \frac{5 ( y + 2 ) + 4 y}{( y + 2 ) ( y + 10 )}

Simplify

5 (y + 2) + 4 y : 9 y + 10

= \frac{9 y + 10}{( y + 2 ) ( y + 10 )}

x^{2} - y^{2} + 4 y - 4

2 (\frac{1}{2})^{- 2}

9 v - 6 w + v + v + v

\frac{4}{15} - 3

\frac{256}{6}

What is 5/(y+10)+(4y)/(y^2+12y+20) ?
The solution to 5/(y+10)+(4y)/(y^2+12y+20) is (9y+10)/((y+2)(y+10))