Solve -7u-3/v^2+4+4u+9/v^2+4

$$\frac { - 7 u - 3 } { v ^ { 2 } + 4 } + \frac { 4 u + 9 } { v ^ { 2 } + 4 }$$

Evaluate

$$\frac{3\left(2-u\right)}{v^{2}+4}$$

Short Solution Steps

Since \frac{-7u-3}{v^{2}+4} and \frac{4u+9}{v^{2}+4} have the same denominator, add them by adding their numerators.

$$\frac{-7u-3+4u+9}{v^{2}+4}$$

Combine like terms in -7u-3+4u+9.

$$\frac{-3u+6}{v^{2}+4}$$

Expand

$$-\frac{3\left(u-2\right)}{v^{2}+4}$$

Short Solution Steps

Since \frac{-7u-3}{v^{2}+4} and \frac{4u+9}{v^{2}+4} have the same denominator, add them by adding their numerators.

$$\frac{-7u-3+4u+9}{v^{2}+4}$$

Combine like terms in -7u-3+4u+9.

$$\frac{-3u+6}{v^{2}+4}$$