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Leviafan [203]
3 years ago
11

(x + 2)² Given: (x + y)² = x² + 2xy + y²

Mathematics
2 answers:
ratelena [41]3 years ago
7 0

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

Rama09 [41]3 years ago
7 0

ANSWER

{x}^{2}  + 4x + 4

EXPLANATION

We want to expand:

(x { + 2)}^{2}

Using the identity:

{( x + y)}^{2}  =  {x}^{2}  + 2xy +  {y}^{2}

We put y=2 into the identity to obtain;

{( x + 2)}^{2}  =  {x}^{2}  + 2x(2) +  {2}^{2}

This simplifies to:

{( x + 2)}^{2}  =  {x}^{2}  +4x + 4

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