Question

Х(х+1)*(х-1)-(х-2)*(х^2+2х+4)

Answer 1

х(х+1)*(х-1)-(х-2)*(х^2+2х+4)=х^3-х-х^3+8=

=8-х

Answer 2

To simplify the expression, let's expand the terms and then combine like terms:

1. Expand the first term: (х+1)(х-1) = х(х-1) + 1*(х-1) = х^2 - х + х - 1 = х^2 - 1

2. Expand the second term: (х-2)(х^2+2х+4) = х(х^2+2х+4) - 2*(х^2+2х+4) = х^3 + 2х^2 + 4х - 2х^2 - 4х - 8 = х^3 - 8

Now, we can rewrite the original expression as follows:

Х(х+1)(х-1) - (х-2)(х^2+2х+4) = х^2 - 1 - (х^3 - 8)

Next, distribute the negative sign to the terms inside the parenthesis:

= х^2 - 1 - х^3 + 8

Finally, combine like terms:

= -х^3 + х^2 + 7

So, the simplified expression is -х^3 + х^2 + 7.