Solve m/3-1/3/frac{1-m^2{21}}

$$\frac { \frac { m } { 3 } - \frac { 1 } { 3 } } { \frac { 1 - m ^ { 2 } } { 21 } }$$

Evaluate

$$-\frac{7}{m+1}$$

Short Solution Steps

Since \frac{m}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{m-1}{3}}{\frac{1-m^{2}}{21}}$$

Divide \frac{m-1}{3} by \frac{1-m^{2}}{21} by multiplying \frac{m-1}{3} by the reciprocal of \frac{1-m^{2}}{21}.

$$\frac{\left(m-1\right)\times 21}{3\left(1-m^{2}\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{7\left(m-1\right)}{-m^{2}+1}$$

Factor the expressions that are not already factored.

$$\frac{7\left(m-1\right)}{\left(m-1\right)\left(-m-1\right)}$$

Cancel out m-1 in both numerator and denominator.

$$\frac{7}{-m-1}$$

Expand

$$-\frac{7}{m+1}$$

Short Solution Steps

Since \frac{m}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{m-1}{3}}{\frac{1-m^{2}}{21}}$$

Divide \frac{m-1}{3} by \frac{1-m^{2}}{21} by multiplying \frac{m-1}{3} by the reciprocal of \frac{1-m^{2}}{21}.

$$\frac{\left(m-1\right)\times 21}{3\left(1-m^{2}\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{7\left(m-1\right)}{-m^{2}+1}$$

Factor the expressions that are not already factored.

$$\frac{7\left(m-1\right)}{\left(m-1\right)\left(-m-1\right)}$$

Cancel out m-1 in both numerator and denominator.

$$\frac{7}{-m-1}$$