What is (2y)/(y+1)+(4+4y)/(y+2) ?

The solution to (2y)/(y+1)+(4+4y)/(y+2) is (6y^2+12y+4)/((y+1)(y+2))

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simplify (2y)/(y+1)+(4+4y)/(y+2)

simplify

\frac{2 y}{y + 1} + \frac{4 + 4 y}{y + 2}

\frac{6 y ^{2} + 12 y + 4}{( y + 1 ) ( y + 2 )}

Solution steps

\frac{2 y}{y + 1} + \frac{4 + 4 y}{y + 2}

Least Common Multiplier of

y + 1, y + 2 : (y + 1) (y + 2)

Adjust Fractions based on the LCM

= \frac{2 y ( y + 2 )}{( y + 1 ) ( y + 2 )} + \frac{( 4 + 4 y ) ( y + 1 )}{( y + 1 ) ( y + 2 )}

Apply the fraction rule:

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

= \frac{2 y ( y + 2 ) + ( 4 + 4 y ) ( y + 1 )}{( y + 1 ) ( y + 2 )}

Simplify

2 y (y + 2) + (4 + 4 y) (y + 1) : 6 y^{2} + 12 y + 4

= \frac{6 y ^{2} + 12 y + 4}{( y + 1 ) ( y + 2 )}

- \frac{3}{( \frac{5}{3} )}

96 \div 24

6 (x + h)

5 x^{2} + 33 x + 18

6 y^{4} + 14 y^{3} - 10 y^{2}

What is (2y)/(y+1)+(4+4y)/(y+2) ?
The solution to (2y)/(y+1)+(4+4y)/(y+2) is (6y^2+12y+4)/((y+1)(y+2))