Factor u^2-8uv+16v^2

Math
u2-8uv+16v2
Rewrite 16v2 as (4v)2.
u2-8uv+(4v)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
8uv=2⋅u⋅(4v)
Rewrite the polynomial.
u2-2⋅u⋅(4v)+(4v)2
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=u and b=4v.
(u-4v)2
Factor u^2-8uv+16v^2

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