Question

Determine if a2 + 4a + 4 is a perfect square trinomial and factor.

a. (a 4)2
b. (a +2)2
c. (a 2)2
d. Not a perfect square trinomial.

Answer 1

`1^(o) \\ \\ (a+b)^(2)=a^(2)+2ab+b^(2) \\ \\ a^(2)+4a+4=(a+2)^(2) \\ \\ 2^(o) \\ \\ a^(2)+4a+4=a^(2)+2a+2a+4=a(a+2)+2(a+2)= \\ \\ =(a+2)(a+2)=(a+2)^(2)`