Question

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

Answer 1

x² +4x +4

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

`{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`