Answer:
x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12
Step-by-step explanation:
(x ^4 - 3x^3 + 3x^2 - 3x + 6) (x - 2)
Distribute the x to all the terms in the first parentheses
(x^ 4 *x - 3x^ 3 *x + 3x^ 2 *x - 3x *x + 6*x)
Then simplify
(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x)
Distribute the -2 to all the terms in the first parentheses
(x^ 4 *(-2) - 3x^ 3 *(-2) + 3x^ 2 *(-2) - 3x *(-2) + 6*(-2))
Then simplify
(-2x^4 +6x^3 -6x^ 2 +6x -12)
Add the terms together
(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x) +(-2x^4 +6x^3 -6x^ 2 +6x -12)
x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12
If you mean a rectangle with length 14 units and width 11 units, then its area is
14 units * 11 units = 154 units^2
Ceiling Function is the least integer that is greater than or equal to x.
It looks like ∆ is defined as
<em>a</em> ∆ <em>b</em> = (<em>a</em> + <em>b</em>)² + 5
If that's the case, then
1 ∆ (-4) = (1 + (-4))² + 5 = (-3)² + 5 = 9 + 5 = 14
