i need this to be factored and please explain the work if you can!

in Algebra 1 Answers by Level 1 User (120 points)

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1 Answer

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)
by Level 6 User (23.6k points)

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