What is (3y)/(y^2+7y+10)+2/(y+2) ?

The solution to (3y)/(y^2+7y+10)+2/(y+2) is 5/(y+5)

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simplify (3y)/(y^2+7y+10)+2/(y+2)

simplify

\frac{3 y}{y ^{2} + 7 y + 10} + \frac{2}{y + 2}

\frac{5}{y + 5}

Solution steps

\frac{3 y}{y ^{2} + 7 y + 10} + \frac{2}{y + 2}

Least Common Multiplier of

y^{2} + 7 y + 10, y + 2 : (y + 2) (y + 5)

Adjust Fractions based on the LCM

= \frac{3 y}{( y + 2 ) ( y + 5 )} + \frac{2 ( y + 5 )}{( y + 2 ) ( y + 5 )}

Apply the fraction rule:

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

= \frac{3 y + 2 ( y + 5 )}{( y + 2 ) ( y + 5 )}

Simplify

3 y + 2 (y + 5) : 5 y + 10

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

Cancel

\frac{5 y + 10}{( y + 2 ) ( y + 5 )} : \frac{5}{y + 5}

= \frac{5}{y + 5}

729 x^{9} + 64

(- (\frac{26}{5})^{2}) - 4 (1) (- \frac{24}{5})

- 2 f - 5

\frac{\frac{8 x ^{8}}{5 x ^{2}}}{\frac{72 x}{45 x ^{5}}}

3 a^{2} - 42 a + 147

What is (3y)/(y^2+7y+10)+2/(y+2) ?
The solution to (3y)/(y^2+7y+10)+2/(y+2) is 5/(y+5)