Question

Y=(x+1)(|x|-1) решите

Answer 1

Y=(x+1)*(|x|-1)
y=|x|*x-x+|x|-1
y=|x|*x-x+|x|-1.x Э(смотрящая вправо)R

Answer 2

Problem Statement

The given equation is Y = (x+1)(|x|-1). We need to solve for Y.

Solution

To solve the equation Y = (x+1)(|x|-1), we can break it down into two cases based on the value of x:

Case 1: x ≥ 0 In this case, |x| = x. Substituting this into the equation, we get: Y = (x+1)(x-1) = x^2 - 1

Case 2: x < 0 In this case, |x| = -x. Substituting this into the equation, we get: Y = (x+1)(-x-1) = -x^2 - x - x - 1 = -x^2 - 2x - 1

Therefore, the solutions to the equation Y = (x+1)(|x|-1) are: - For x ≥ 0: Y = x^2 - 1 - For x < 0: Y = -x^2 - 2x - 1

Let's summarize the solutions: - For x ≥ 0: Y = x^2 - 1 - For x < 0: Y = -x^2 - 2x - 1

Please let me know if anything is unclear or if you need further assistance!