Factor 25p^2-20p+4

Math
25p2-20p+4
Rewrite 25p2 as (5p)2.
(5p)2-20p+4
Rewrite 4 as 22.
(5p)2-20p+22
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
20p=2⋅(5p)⋅2
Rewrite the polynomial.
(5p)2-2⋅(5p)⋅2+22
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=5p and b=2.
(5p-2)2
Factor 25p^2-20p+4

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