Question

8+х(х^3+х^2-2)-(х^4+х3+5х)

Answer 1

Ответ:

8+x⁴+x³-2x-x⁴-x³-5x=0

-7x= -8

x=8/7

Answer 2

To simplify the expression 8 + x(x^3 + x^2 - 2) - (x^4 + x^3 + 5x), we can apply the distributive property and combine like terms. Let's break it down step by step:

Step 1: Distribute x to each term inside the parentheses: x(x^3 + x^2 - 2) = x^4 + x^3 + 2x^2

Step 2: Distribute the negative sign to each term inside the second parentheses: -(x^4 + x^3 + 5x) = -x^4 - x^3 - 5x

Now, the simplified expression becomes: 8 + x^4 + x^3 + 2x^2 - x^4 - x^3 - 5x

Step 3: Combine like terms: (x^4 - x^4) + (x^3 - x^3) + (2x^2) + (-5x) + 8

Simplifying further, we have: 2x^2 - 5x + 8

Therefore, the simplified form of the expression 8 + x(x^3 + x^2 - 2) - (x^4 + x^3 + 5x) is 2x^2 - 5x + 8.