Factor 81+18z+z^2

Math
81+18z+z2
Rewrite 81 as 92.
92+18z+z2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
18z=2⋅9⋅z
Rewrite the polynomial.
92+2⋅9⋅z+z2
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=9 and b=z.
(9+z)2
Factor 81+18z+z^2

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