Question

8(x-1)-6(x-3)+(x+1)^2=(x-1)(x+1)

Answer 1

Ответ:х = -3

Объяснение:

8х-8-6х+18+х^2+2x+1=x^2-1

4x+11=-1

4x=-12

x=-3

Answer 2

Let's simplify the given equation step by step:

8(x - 1) - 6(x - 3) + (x + 1)^2 = (x - 1)(x + 1)

First, let's expand the squared term (x + 1)^2:

8(x - 1) - 6(x - 3) + x^2 + 2x + 1 = (x - 1)(x + 1)

Next, distribute the multiplication:

8x - 8 - 6x + 18 + x^2 + 2x + 1 = x^2 - 1

Combine like terms:

(8x - 6x + 2x) + (-8 + 18 + 1) + x^2 = x^2 - 1

4x + 11 + x^2 = x^2 - 1

Rearrange the terms to isolate x on one side of the equation:

x^2 - x^2 - 4x = -1 - 11

-4x = -12

Divide both sides by -4:

x = (-12) / (-4)

Simplifying:

x = 3

Therefore, the solution to the equation is x = 3.