Factor 9u^2+48uw+64w^2

Math
9u2+48uw+64w2
Rewrite 9u2 as (3u)2.
(3u)2+48uw+64w2
Rewrite 64w2 as (8w)2.
(3u)2+48uw+(8w)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
48uw=2⋅(3u)⋅(8w)
Rewrite the polynomial.
(3u)2+2⋅(3u)⋅(8w)+(8w)2
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=3u and b=8w.
(3u+8w)2
Factor 9u^2+48uw+64w^2

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