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)