Factor 4z^2+20z+25

Math
4z2+20z+25
Rewrite 4z2 as (2z)2.
(2z)2+20z+25
Rewrite 25 as 52.
(2z)2+20z+52
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
20z=2⋅(2z)⋅5
Rewrite the polynomial.
(2z)2+2⋅(2z)⋅5+52
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=2z and b=5.
(2z+5)2
Factor 4z^2+20z+25

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