Question

Simplify (x+3)^2 - 6x

Answer 1

The answer is x² + 9.

Explanation:

First, you have to get rid of bracket of square :

`{(a + b)}^(2) \: ⇒ \: {a}^(2) + 2ab + {b}^(2)`

`{(x + 3)}^(2)`

`= (x + 3)(x + 3)`

`= {x}^(2) + 6x + 9`

Next, you can simplify :

`{x}^(2) + 6x + 9 - 6x`

`= {x}^(2) + 9`

Answer 2

`{x}^(2) + 9`

Explanation:

`{(x + 3)}^(2) - 6x \\ \\ = {x}^(2) + {3}^(2) + 2 * x * 3 - 6x \\ \\ = {x}^(2) + 9 + 6x - 6x \\ \\ = {x}^(2) + 9`