a2 + 8a + 16
Rewrite in the from a
[tex] {a}^{2} + 2ab + b ^{2} [/tex]
16 = 4^2
8a = 2a . 4
= a^2 + 2a . 4 + 4^2
Applying the binomial squared formula :
[tex] {a}^{2} + 2ab + b ^{2} = \: (a + b) ^{2} [/tex]
= ( a + 4 ) ^ 2