Factor 16u^2+40u+25

Math
16u2+40u+25
Rewrite 16u2 as (4u)2.
(4u)2+40u+25
Rewrite 25 as 52.
(4u)2+40u+52
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
40u=2⋅(4u)⋅5
Rewrite the polynomial.
(4u)2+2⋅(4u)⋅5+52
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=4u and b=5.
(4u+5)2
Factor 16u^2+40u+25

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