Question

(5x-4)^3+(5x-2)^3-250x^3 при x=0,5;0;-1

Answer 1

Максимально упростим наше выражение:
$125x ^{3} - 300 {x}^{2} + 240x - 64 + 125 {x}^{3} - \\ - 150 {x}^{2} + 60x - 8 - 250 {x}^{3} = \\ = - 450 {x}^{2} + 300x - 72$
в это выражение подставим значения
Если х = 0.5, то
Ответ: -34.5
Если х = 0. то:
Ответ: -72
Если х = 1. то
Ответ: -222

Answer 2

To find the value of the expression (5x-4)^3 + (5x-2)^3 - 250x^3 for the given values of x, we simply substitute those values into the expression and perform the calculations.

Let's calculate it for x = 0.5:

(5 * 0.5 - 4)^3 + (5 * 0.5 - 2)^3 - 250 * (0.5)^3 = (2.5 - 4)^3 + (2.5 - 2)^3 - 250 * 0.125 = (-1.5)^3 + (0.5)^3 - 31.25 = -3.375 + 0.125 - 31.25 = -34.5

Now, let's calculate it for x = 0:

(5 * 0 - 4)^3 + (5 * 0 - 2)^3 - 250 * 0^3 = (0 - 4)^3 + (0 - 2)^3 - 0 = (-4)^3 + (-2)^3 = -64 - 8 = -72

Lastly, let's calculate it for x = -1:

(5 * (-1) - 4)^3 + (5 * (-1) - 2)^3 - 250 * (-1)^3 = (-5 - 4)^3 + (-5 - 2)^3 + 250 = (-9)^3 + (-7)^3 + 250 = -729 - 343 + 250 = -822

So, the values of the expression for the given values of x are:

For x = 0.5: -34.5 For x = 0: -72 For x = -1: -822