Factor the following perfect square trinomial. $y ^ { 2 } + 4 y + 4$
A) $( y + 1 ) ^ { 2 }$
B) $( y + 4 ) ^ { 2 }$
C) $( y + 2 ) ^ { 2 }$
D) $( y - 2 ) ^ { 2 }$
E) none of these

Question

Quizplus · Accepted Answer

We can see that the first and last term are perfect squares. Also, the middle term is twice the product of the square roots of the first and last term. Applying this rule to the given trinomial, we get:
$$y^2 + 4y + 4 = (y+2)^2$$
Thus, the answer is choice (C).

Factor the Following Perfect Square Trinomial y2+4y+4y ^ { 2 } + 4 y + 4y2+4y+4

Factor the Following Perfect Square Trinomial $y ^ { 2 } + 4 y + 4$