Solve 16n^2-8n^4+20n^8

$$16 n ^ { 2 } - 8 n ^ { 4 } + 20 n ^ { 8 }$$

Factor

$$4n^{2}\left(5n^{6}-2n^{2}+4\right)$$

Solution Steps

Factor out 4.

$$4\left(4n^{2}-2n^{4}+5n^{8}\right)$$

Consider 4n^{2}-2n^{4}+5n^{8}. Factor out n^{2}.

$$n^{2}\left(4-2n^{2}+5n^{6}\right)$$

Rewrite the complete factored expression. Polynomial 4-2n^{2}+5n^{6} is not factored since it does not have any rational roots.

$$4n^{2}\left(4-2n^{2}+5n^{6}\right)$$

Evaluate

$$20n^{8}-8n^{4}+16n^{2}$$