Solve 4n^2-8n^6

$$4 n ^ { 2 } - 8 n ^ { 6 }$$

Factor

$$4n^{2}\left(1-2n^{4}\right)$$

Solution Steps

Factor out 4.

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

Consider n^{2}-2n^{6}. Factor out n^{2}.

$$n^{2}\left(1-2n^{4}\right)$$

Rewrite the complete factored expression. Polynomial 1-2n^{4} is not factored since it does not have any rational roots.

$$4n^{2}\left(1-2n^{4}\right)$$

Evaluate

$$4n^{2}-8n^{6}$$