Factor c^3-c^2-25c+25

Math
c3-c2-25c+25
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(c3-c2)-25c+25
Factor out the greatest common factor (GCF) from each group.
c2(c-1)-25(c-1)
c2(c-1)-25(c-1)
Factor the polynomial by factoring out the greatest common factor, c-1.
(c-1)(c2-25)
Rewrite 25 as 52.
(c-1)(c2-52)
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=c and b=5.
(c-1)((c+5)(c-5))
Remove unnecessary parentheses.
(c-1)(c+5)(c-5)
(c-1)(c+5)(c-5)
Factor c^3-c^2-25c+25

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