Factor 49v^2+56vw+16w^2

Math
49v2+56vw+16w2
Rewrite 49v2 as (7v)2.
(7v)2+56vw+16w2
Rewrite 16w2 as (4w)2.
(7v)2+56vw+(4w)2
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅(7v)⋅(4w)
Simplify.
2ab=56vw
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=7v and b=4w.
(7v+4w)2
Factor 49v^2+56vw+16w^2

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