Question

(x-1)(x-2)(x-3)-(x+1)(x+2)(x-3)

Answer 1

Ответ:

х.*2х*3х-х*2х*3х=30

Answer 2

To simplify the expression, let's expand both terms and then combine like terms. Here's the step-by-step process:

Step 1: Expand the first term (x-1)(x-2)(x-3):

(x-1)(x-2)(x-3) = (x^2 - 3x + 2x - 6)(x - 3) = (x^2 - x - 6)(x - 3) = x^2(x) - x^2(3) - x(x) + x(3) - 6(x) + 6(3) = x^3 - 3x^2 - x^2 + 3x - 6x + 18 = x^3 - 4x^2 - 3x + 18

Step 2: Expand the second term (x+1)(x+2)(x-3):

(x+1)(x+2)(x-3) = (x^2 + 2x + x + 2)(x - 3) = (x^2 + 3x + 2)(x - 3) = x^2(x) - x^2(3) + 3x(x) - 3x(3) + 2(x) - 2(3) = x^3 - 3x^2 + 3x^2 - 9x + 2x - 6 = x^3 - 9x - 6

Step 3: Subtract the second term from the first term:

(x^3 - 4x^2 - 3x + 18) - (x^3 - 9x - 6)

Now, let's combine like terms:

x^3 - 4x^2 - 3x + 18 - x^3 + 9x + 6

The x^3 terms cancel each other out, and the x^2 and x terms combine:

-4x^2 + 6x + 18 + 6

Finally, combine the constants:

-4x^2 + 6x + 24

So, the simplified expression is: -4x^2 + 6x + 24.