Perfect square trinomial of y² + 20y + 100 is; (y + 10)²
We are dealing with a perfect square trinomial.
By definition, A perfect square trinomial is a trinomial that can be expressed as the square of a binomial. For example;
x² + 4xy + 4y² can be expressed as;
(x + 2y)²
Applying this to our question;
y² + 20y + 100
From the example given in the first paragraph, we can see that coefficient of y is the perfect square trinomial is the square root of the coefficient of y².
Thus, in this case the coefficient of y in the perfect square trinomial will be; √100 = 10
Thus,our perfect square trinomial is;
y² + 20y + 100 = (y + 10)²
Read more at; brainly.com/question/4853862
