Question

(x - 2)² + 6x – 7 Which of the following is equivalent to

Answer 1

`x^2 +2x-3`

Explanation:

Given

`(x - 2)\² + 6x - 7`

Required

The equivalent

We have:

`(x - 2)\² + 6x - 7`

Expand

`(x - 2)\² + 6x - 7 = x^2 -2x-2x +4 +6x - 7`

Collect like terms

`(x - 2)\² + 6x - 7 = x^2 -2x-2x+6x +4 - 7`

`(x - 2)\² + 6x - 7 = x^2 +2x-3`

Hence, the equivalent is:

`x^2 +2x-3`