Factor m^2-6mn+9n^2

Math
m2-6mn+9n2
Rewrite 9n2 as (3n)2.
m2-6mn+(3n)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
6mn=2⋅m⋅(3n)
Rewrite the polynomial.
m2-2⋅m⋅(3n)+(3n)2
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=m and b=3n.
(m-3n)2
Factor m^2-6mn+9n^2

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