Solve 2y^2+y/3y+4+8y+2/3y+4

$$\frac { 2 y ^ { 2 } + y } { 3 y + 4 } + \frac { 8 y + 2 } { 3 y + 4 }$$

Evaluate

$$\frac{2y^{2}+9y+2}{3y+4}$$

Short Solution Steps

Since \frac{2y^{2}+y}{3y+4} and \frac{8y+2}{3y+4} have the same denominator, add them by adding their numerators.

$$\frac{2y^{2}+y+8y+2}{3y+4}$$

Combine like terms in 2y^{2}+y+8y+2.

$$\frac{2y^{2}+9y+2}{3y+4}$$

Expand

$$\frac{2y^{2}+9y+2}{3y+4}$$

Short Solution Steps

Since \frac{2y^{2}+y}{3y+4} and \frac{8y+2}{3y+4} have the same denominator, add them by adding their numerators.

$$\frac{2y^{2}+y+8y+2}{3y+4}$$

Combine like terms in 2y^{2}+y+8y+2.

$$\frac{2y^{2}+9y+2}{3y+4}$$