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

Question

Quizplus · Accepted Answer

The perfect square trinomial, $b ^ { 2 } + 4 b + 4$, can be factored as $(b+2)^2$. This is because the first and last terms are perfect squares, and the middle term is twice the product of the square roots of the first and last terms ($2\cdot b\cdot 2 = 4b$). Therefore, the answer is choice A, $( b + 2 ) ^ { 2 }$.

Factor the Following Perfect Square Trinomial b2+4b+4b ^ { 2 } + 4 b + 4b2+4b+4

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