Factor 4a^2+20ad+25d^2

Math
4a2+20ad+25d2
Rewrite 4a2 as (2a)2.
(2a)2+20ad+25d2
Rewrite 25d2 as (5d)2.
(2a)2+20ad+(5d)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
20ad=2⋅(2a)⋅(5d)
Rewrite the polynomial.
(2a)2+2⋅(2a)⋅(5d)+(5d)2
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=2a and b=5d.
(2a+5d)2
Factor 4a^2+20ad+25d^2

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