16c^(16)-16

Factor out the GCF of 16 from each term in the polynomial.

16(c^(16))+16(-1)

Factor out the GCF of 16 from 16c^(16)-16.

16(c^(16)-1)

The binomial can be factored using the difference of squares formula, because both terms are perfect squares.

16(c^(8)+1)(c^(8)-1)

The binomial can be factored using the difference of squares formula, because both terms are perfect squares.

16(c^(8)+1)(c^(4)+1)(c^(4)-1)

The binomial can be factored using the difference of squares formula, because both terms are perfect squares.

16(c^(8)+1)(c^(4)+1)(c^(2)+1)(c^(2)-1)

The binomial can be factored using the difference of squares formula, because both terms are perfect squares. The difference of squares formula is a^(2)-b^(2)=(a-b)(a+b).

16(c^(8)+1)(c^(4)+1)(c^(2)+1)(c-1)(c+1)