Solve frac{18m^{4}-21m^{2}n^2-15n^4}{6m^2+3n^2}

$$\frac { 18 m ^ { 4 } - 21 m ^ { 2 } n ^ { 2 } - 15 n ^ { 4 } } { 6 m ^ { 2 } + 3 n ^ { 2 } }$$

Evaluate

$$3m^{2}-5n^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{3\left(3m^{2}-5n^{2}\right)\left(2m^{2}+n^{2}\right)}{3\left(2m^{2}+n^{2}\right)}$$

Cancel out 3\left(2m^{2}+n^{2}\right) in both numerator and denominator.

$$3m^{2}-5n^{2}$$

Expand

$$3m^{2}-5n^{2}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{3\left(3m^{2}-5n^{2}\right)\left(2m^{2}+n^{2}\right)}{3\left(2m^{2}+n^{2}\right)}$$

Cancel out 3\left(2m^{2}+n^{2}\right) in both numerator and denominator.

$$3m^{2}-5n^{2}$$