Factor the perfect square trinomial y2 + 20y + 100.

A.(y + 2)(y + 10)
B.(y + 10)(y - 10)
C.(y + 10)
D.(y - 10)

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

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Step-by-step explanation:

First find the factors of 100 then

y2 + 20y +100

y2 +10y + 10y +100

y ( y + 10) + 10(y + 10)

So the factor is ( y + 10)

Option C is the correct answer

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