Solve 1-36m^2/49n^2

$$1 - \frac { 36 m ^ { 2 } } { 49 n ^ { 2 } }$$

Evaluate

$$-\frac{36\times \left(\frac{m}{n}\right)^{2}}{49}+1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{49n^{2}}{49n^{2}}.

$$\frac{49n^{2}}{49n^{2}}-\frac{36m^{2}}{49n^{2}}$$

Since \frac{49n^{2}}{49n^{2}} and \frac{36m^{2}}{49n^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49n^{2}-36m^{2}}{49n^{2}}$$

Factor

$$\frac{-\frac{36m^{2}}{n^{2}}+49}{49}$$