Respuesta :

sqdancefan

Answer:

  x² +4x +4

Step-by-step explanation:

Matching the expressions, you see you have y=2. Put 2 where y is and simplify.

  (x +2)² = x² +2x(2) +(2)² = x² +4x +4

kudzordzifrancis

ANSWER

[tex] {x}^{2} + 4x + 4[/tex]

EXPLANATION

We want to expand:

[tex](x { + 2)}^{2} [/tex]

Using the identity:

[tex] {( x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} [/tex]

We put y=2 into the identity to obtain;

[tex] {( x + 2)}^{2} = {x}^{2} + 2x(2) + {2}^{2} [/tex]

This simplifies to:

[tex]{( x + 2)}^{2} = {x}^{2} +4x + 4[/tex]

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