Factor 25y^3-25y^2-y+1

Math
25y3-25y2-y+1
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(25y3-25y2)-y+1
Factor out the greatest common factor (GCF) from each group.
25y2(y-1)-(y-1)
25y2(y-1)-(y-1)
Factor the polynomial by factoring out the greatest common factor, y-1.
(y-1)(25y2-1)
Rewrite 25y2 as (5y)2.
(y-1)((5y)2-1)
Rewrite 1 as 12.
(y-1)((5y)2-12)
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=5y and b=1.
(y-1)((5y+1)(5y-1))
Remove unnecessary parentheses.
(y-1)(5y+1)(5y-1)
(y-1)(5y+1)(5y-1)
Factor 25y^3-25y^2-y+1

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