Question

Complete the perfect square: (x + 4)2(x + 4)+2+ 16

Answer 1

Given:

`(x+4)^2`

Let's complete the perfect square.

• Expand the expression:

`(x+4)(x+4)`

• Now, expand using FOIL method:

`x(x+4)+4(x+4)`

• Apply distributive property:

`\begin{gathered} x^{}(x)+x(4)+4(x)+4(4) \\ \\ x^2+4x+4x+16 \\ \\ \end{gathered}`

• Combine like terms:

`x^2+8x+16`

ANSWER:

`x^2+8x+16`