Factor 25+60z+36z^2

Math
25+60z+36z2
Rewrite 25 as 52.
52+60z+36z2
Rewrite 36z2 as (6z)2.
52+60z+(6z)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
60z=2⋅5⋅(6z)
Rewrite the polynomial.
52+2⋅5⋅(6z)+(6z)2
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=5 and b=6z.
(5+6z)2
Factor 25+60z+36z^2

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