Solve 2x^4+72x^2-6-5x^4+1-x^4

$$2 x ^ { 4 } + 72 x ^ { 2 } - 6 - 5 x ^ { 4 } + 1 - x ^ { 4 }$$

Evaluate

$$-4x^{4}+72x^{2}-5$$

Solution Steps

Combine 2x^{4} and -5x^{4} to get -3x^{4}.

$$-3x^{4}+72x^{2}-6+1-x^{4}$$

Add -6 and 1 to get -5.

$$-3x^{4}+72x^{2}-5-x^{4}$$

Combine -3x^{4} and -x^{4} to get -4x^{4}.

$$-4x^{4}+72x^{2}-5$$

Factor

$$-4\left(x^{2}-\left(-\frac{\sqrt{319}}{2}+9\right)\right)\left(x^{2}-\left(\frac{\sqrt{319}}{2}+9\right)\right)$$