Respuesta :

[tex](x+4)^2-(x+4)[/tex]

start by expanding the exponent using the rule

[tex](a+b)^2=a^2+2ab+b^2[/tex]

apply on the expression

[tex]\begin{gathered} (x+4)^2=x^2+2\cdot4\cdot x+4^2 \\ (x+4)^2=x^2+8x+16 \end{gathered}[/tex]

bring to the first expression and simplify

[tex]\begin{gathered} x^2+8x+16-(x+4) \\ x^2+8x+16-x-4 \\ x^2+7x+12 \end{gathered}[/tex]