Solve 5x^6-17x^4-12x^2+10x^6+2{x}^4

$$5 { x }^{ 6 } -17 { x }^{ 4 } -12 { x }^{ 2 } +10 { x }^{ 6 } +2 { x }^{ 4 }$$

Evaluate

$$15x^{6}-15x^{4}-12x^{2}$$

Solution Steps

Combine 5x^{6} and 10x^{6} to get 15x^{6}.

$$15x^{6}-17x^{4}-12x^{2}+2x^{4}$$

Combine -17x^{4} and 2x^{4} to get -15x^{4}.

$$15x^{6}-15x^{4}-12x^{2}$$

Factor

$$15x^{2}\left(x^{2}-\left(-\frac{\sqrt{105}}{10}+\frac{1}{2}\right)\right)\left(x^{2}-\left(\frac{\sqrt{105}}{10}+\frac{1}{2}\right)\right)$$