Factor 25z^2+20z+4

Math
25z2+20z+4
Rewrite 25z2 as (5z)2.
(5z)2+20z+4
Rewrite 4 as 22.
(5z)2+20z+22
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
20z=2⋅(5z)⋅2
Rewrite the polynomial.
(5z)2+2⋅(5z)⋅2+22
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=5z and b=2.
(5z+2)2
Factor 25z^2+20z+4

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