Question

(x+1)*(x-x+1)-x(x-1) при х=-2

Answer 1

$(x + 1) \times (x - x + 1) - x(x - 1) = \\ (x + 1) \times 1 - {x}^{2} + x = \\ x + 1 - {x}^{2} + x = \\ 2x - {x}^{2} + 1 \\ x = - 2 \\ 2 \times ( - 2) - ( - 2) ^{2} + 1 = \\ - 4 - 4 + 1 = - 8 + 1 = - 7$

Answer 2

To evaluate the expression (x+1)*(x-x+1)-x(x-1) when x is equal to -2, we can substitute -2 for x in the expression and perform the calculations.

Let's substitute x = -2 into the expression:

(-2+1)*(-2-(-2)+1)-(-2(-2-1))

First, let's simplify the terms inside the parentheses:

(-2+1)*(-2+2+1)-(-2(-3))

Next, perform the additions and subtractions:

(-1)*(1)-(-2(-3))

Multiply -1 by 1:

-1-(-2(-3))

Now, simplify the double negative:

-1-(-6)

Subtracting a negative is the same as adding a positive:

-1+6

Finally, add -1 and 6:

5

Therefore, when x is equal to -2, the expression (x+1)*(x-x+1)-x(x-1) evaluates to 5.