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

Complete the perfect square: (x + 4)2(x + 4)+2+ 16-example-1
User Aquajach
by
2.5k points

1 Answer

13 votes
13 votes

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

User Igor Bidiniuc
by
2.8k points
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