Factor 9z^2+12z+4

Math
9z2+12z+4
Rewrite 9z2 as (3z)2.
(3z)2+12z+4
Rewrite 4 as 22.
(3z)2+12z+22
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
12z=2⋅(3z)⋅2
Rewrite the polynomial.
(3z)2+2⋅(3z)⋅2+22
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=3z and b=2.
(3z+2)2
Factor 9z^2+12z+4

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