What is 3/(y+3)+(2y)/(y^2+7y+12) ?

The solution to 3/(y+3)+(2y)/(y^2+7y+12) is (5y+12)/((y+3)(y+4))

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simplify 3/(y+3)+(2y)/(y^2+7y+12)

simplify

\frac{3}{y + 3} + \frac{2 y}{y ^{2} + 7 y + 12}

\frac{5 y + 12}{( y + 3 ) ( y + 4 )}

Solution steps

\frac{3}{y + 3} + \frac{2 y}{y ^{2} + 7 y + 12}

Least Common Multiplier of

y + 3, y^{2} + 7 y + 12 : (y + 3) (y + 4)

Adjust Fractions based on the LCM

= \frac{3 ( y + 4 )}{( y + 3 ) ( y + 4 )} + \frac{2 y}{( y + 3 ) ( y + 4 )}

Apply the fraction rule:

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

= \frac{3 ( y + 4 ) + 2 y}{( y + 3 ) ( y + 4 )}

Simplify

3 (y + 4) + 2 y : 5 y + 12

= \frac{5 y + 12}{( y + 3 ) ( y + 4 )}

3 x^{4} - 3 x^{2}

x^{4} - 4 x^{2} - 21

2 x + 3 x^{2} (4 x - 5)

3 \frac{3}{4} \div \frac{3}{4}

(\frac{1}{16})^{6}

What is 3/(y+3)+(2y)/(y^2+7y+12) ?
The solution to 3/(y+3)+(2y)/(y^2+7y+12) is (5y+12)/((y+3)(y+4))