Factor 4a^2-20ab^2+25b^4

Math
4a2-20ab2+25b4
Rewrite 4a2 as (2a)2.
(2a)2-20ab2+25b4
Rewrite 25b4 as (5b2)2.
(2a)2-20ab2+(5b2)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
20ab2=2⋅(2a)⋅(5b2)
Rewrite the polynomial.
(2a)2-2⋅(2a)⋅(5b2)+(5b2)2
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=2a and b=5b2.
(2a-5b2)2
Factor 4a^2-20ab^2+25b^4

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