Question

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

Answer 1

Answer:

$x^2 +2x-3$

Step-by-step 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:

$x^2 +2x-3$