## Algebra: A Combined Approach (4th Edition)

$x+5+ 4(\sqrt (x+1)$
Step 1: We will use the expression $(a+b)^{2}=a^{2}+2ab + b^{2}$ Step 2: $a=\sqrt (x+1)$ and $b=2$ Step 3: Substituting $a$ and $b$ in the above expression, $(\sqrt (x+1) +2)^{2}$ = $(\sqrt (x+1))^{2} +2(\sqrt (x+1))(2) + 2^{2}$ Step 4: Simplifying, $(x+1) + 2(2)(\sqrt (x+1) + 4$= $(x+1) + 4(\sqrt (x+1) + 4$ Step 5: Simplifying further, $x+1+4+ 4(\sqrt (x+1)$ Step 6: $x+5+ 4(\sqrt (x+1)$