Question

(x+1)(1-x+^2)-x(x+2)(x-2)=x+7

Answer 1

Пошаговое объяснение:

во второй дужке то додавание или поднисение к степени?

Answer 2

Let's simplify the given expression step by step:

(x + 1)(1 - x + x^2) - x(x + 2)(x - 2) = x + 7

First, let's simplify each term in the expression.

1. (x + 1)(1 - x + x^2) = (x + 1)(1 - x + x^2) = x(1 - x + x^2) + 1(1 - x + x^2) = x - x^2 + x^3 + 1 - x + x^2

Now, combine like terms:

x - x^2 + x^3 + 1 - x + x^2 = x^3 + 1

2. -x(x + 2)(x - 2) = -x(x^2 - 2x + 2x - 4) = -x(x^2 - 4)

Now, distribute -x into the expression:

-x(x^2 - 4) = -x^3 + 4x

Now, the simplified expression is:

(x^3 + 1) - (-x^3 + 4x) = x^3 + 1 + x^3 - 4x

Combine like terms:

2x^3 - 4x + 1 - 4x = 2x^3 - 8x + 1 - 4x

Now, simplify further:

2x^3 - 12x + 1

So, the simplified expression is:

2x^3 - 12x + 1 = x + 7

Now, set the equation equal to zero:

2x^3 - 12x + 1 - x - 7 = 0

Combine like terms:

2x^3 - 13x - 6 = 0

This is a cubic equation. To find its roots, you may need to use numerical methods or factor it if possible. If you need the roots of this cubic equation, you can use a numerical solver or approximation methods.