Answer:
36x^2 + 12x + 1 equals (6x+1)^2.
Explanation:
36x^2 + 12x + 1 can be factored as (6x+1)
2
.
This can be solved using the perfect square trinomial rule, which states that:
a^2 + 2ab + b^2 = (a + b)^2
where a and b are any two numbers.
In this case, a=6x and b=1. Substituting these values into the perfect square trinomial rule, we get:
(6x)^2 + 2(6x)(1) + (1)^2 = (6x + 1)^2
Therefore, 36x^2 + 12x + 1 equals (6x+1)
2
.