Factor 4a^2+28ab+49b^2

Math
4a2+28ab+49b2
Rewrite 4a2 as (2a)2.
(2a)2+28ab+49b2
Rewrite 49b2 as (7b)2.
(2a)2+28ab+(7b)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
28ab=2⋅(2a)⋅(7b)
Rewrite the polynomial.
(2a)2+2⋅(2a)⋅(7b)+(7b)2
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=2a and b=7b.
(2a+7b)2
Factor 4a^2+28ab+49b^2

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