Solve cos^4alpha-sin^4alpha/cos^2alpha-sin^2alpha

$$\frac { \cos ^ { 4 } \alpha - \sin ^ { 4 } \alpha } { \cos ^ { 2 } \alpha - \sin ^ { 2 } \alpha }$$

Evaluate

$$1$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(\sin(\alpha )+\cos(\alpha )\right)\left(\cos(\alpha )-\sin(\alpha )\right)\left(\left(\sin(\alpha )\right)^{2}+\left(\cos(\alpha )\right)^{2}\right)}{\left(\sin(\alpha )+\cos(\alpha )\right)\left(\cos(\alpha )-\sin(\alpha )\right)}$$

Cancel out \left(\sin(\alpha )+\cos(\alpha )\right)\left(\cos(\alpha )-\sin(\alpha )\right) in both numerator and denominator.

$$\left(\sin(\alpha )\right)^{2}+\left(\cos(\alpha )\right)^{2}$$

Expand the expression.

$$1$$

Factor

$$1$$