Solve -5/3v^3x^2+2/5v^2x

$$\frac { - 5 } { 3 v ^ { 3 } x ^ { 2 } } + \frac { 2 } { 5 v ^ { 2 } x }$$

Evaluate

$$\frac{6vx-25}{15x^{2}v^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3v^{3}x^{2} and 5v^{2}x is 15x^{2}v^{3}. Multiply \frac{-5}{3v^{3}x^{2}} times \frac{5}{5}. Multiply \frac{2}{5v^{2}x} times \frac{3vx}{3vx}.

$$\frac{-5\times 5}{15x^{2}v^{3}}+\frac{2\times 3vx}{15x^{2}v^{3}}$$

Since \frac{-5\times 5}{15x^{2}v^{3}} and \frac{2\times 3vx}{15x^{2}v^{3}} have the same denominator, add them by adding their numerators.

$$\frac{-5\times 5+2\times 3vx}{15x^{2}v^{3}}$$

Do the multiplications in -5\times 5+2\times 3vx.

$$\frac{-25+6vx}{15x^{2}v^{3}}$$

Factor

$$\frac{6vx-25}{15x^{2}v^{3}}$$