Question

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

Answer 1

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

Answer 2

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:

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