Given:
[tex](x+4)^2[/tex]
Let's complete the perfect square.
• Expand the expression:
[tex](x+4)(x+4)[/tex]
• Now, expand using FOIL method:
[tex]x(x+4)+4(x+4)[/tex]
• Apply distributive property:
[tex]\begin{gathered} x^{}(x)+x(4)+4(x)+4(4) \\ \\ x^2+4x+4x+16 \\ \\ \end{gathered}[/tex]
• Combine like terms:
[tex]x^2+8x+16[/tex]
ANSWER:
[tex]x^2+8x+16[/tex]
