Question

# What is the complete factorization of 12x^{6}-3x^{2}?

Polynomial factorization
What is the complete factorization of $$12x^{6}-3x^{2}$$?

$$12x^{6}-3x^{2}$$
$$=3x^{2}(4x^{4}-1)$$
$$=3x^{2}(2x^{2}-1)(2x^{2}+1)$$
$$=3x^{2}(\sqrt{2}x-1)(\sqrt{2}x+1)(2x^{2}+1)$$