Factor 25w^2+60wy+36y^2

Math
25w2+60wy+36y2
Rewrite 25w2 as (5w)2.
(5w)2+60wy+36y2
Rewrite 36y2 as (6y)2.
(5w)2+60wy+(6y)2
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅(5w)⋅(6y)
Simplify.
2ab=60wy
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=5w and b=6y.
(5w+6y)2
Factor 25w^2+60wy+36y^2

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