Solve frac{(a^{4}x^{4}+b^{4}y^{4})^{2}+(b^{4}x^{4}-a^{4}y^{4})^{2}+(x^{8}+y^{8})(a^{8}+b^{8})}{(a^{4}y^{4}-b^{4}x^{4})^{2}+(a^{4}x^4+b^4y^4)^2}

$$\frac { ( a ^ { 4 } x ^ { 4 } + b ^ { 4 } y ^ { 4 } ) ^ { 2 } + ( b ^ { 4 } x ^ { 4 } - a ^ { 4 } y ^ { 4 } ) ^ { 2 } + ( x ^ { 8 } + y ^ { 8 } ) ( a ^ { 8 } + b ^ { 8 } ) } { ( a ^ { 4 } y ^ { 4 } - b ^ { 4 } x ^ { 4 } ) ^ { 2 } + ( a ^ { 4 } x ^ { 4 } + b ^ { 4 } y ^ { 4 } ) ^ { 2 } }$$

Evaluate

$$2$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\left(a^{8}+b^{8}\right)\left(x^{8}+y^{8}\right)}{\left(a^{8}+b^{8}\right)\left(x^{8}+y^{8}\right)}$$

Cancel out \left(a^{8}+b^{8}\right)\left(x^{8}+y^{8}\right) in both numerator and denominator.

$$2$$

Factor

$$2$$