Factor 80y^2-40y+5

Math
80y2-40y+5
Factor 5 out of 80y2-40y+5.
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Factor 5 out of 80y2.
5(16y2)-40y+5
Factor 5 out of -40y.
5(16y2)+5(-8y)+5
Factor 5 out of 5.
5(16y2)+5(-8y)+5(1)
Factor 5 out of 5(16y2)+5(-8y).
5(16y2-8y)+5(1)
Factor 5 out of 5(16y2-8y)+5(1).
5(16y2-8y+1)
5(16y2-8y+1)
Factor using the perfect square rule.
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Rewrite 16y2 as (4y)2.
5((4y)2-8y+1)
Rewrite 1 as 12.
5((4y)2-8y+12)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
8y=2⋅(4y)⋅1
Rewrite the polynomial.
5((4y)2-2⋅(4y)⋅1+12)
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=4y and b=1.
5(4y-1)2
5(4y-1)2
Factor 80y^2-40y+5

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