Factor out of .

Factor out of .

Multiply by .

Factor out of .

Factor out of .

Rewrite as .

Let . Substitute for all occurrences of .

Rewrite as .

Rewrite as .

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

Rewrite the polynomial.

Factor using the perfect square trinomial rule , where and .

Replace all occurrences of with .

Factor 36m^6+12m^4+m^2