Question

(4х³-5х-7)+(х³-8х)(5х²+7х-9)+(-3х²-6х+2)СРОЧНО ПОЖАЛУЙСТА!!!!​

Answer 1

Ответ:

Смотри решение на фото...

Answer 2

To simplify the expression (4x³ - 5x - 7) + (x³ - 8x)(5x² + 7x - 9) + (-3x² - 6x + 2), we can follow the order of operations and combine like terms.

Step 1: Distribute the terms

First, we need to distribute the terms inside the parentheses. Let's start with the second term, (x³ - 8x)(5x² + 7x - 9):

(x³ - 8x)(5x² + 7x - 9) = x³(5x² + 7x - 9) - 8x(5x² + 7x - 9)

Now, let's distribute the third term, (-3x² - 6x + 2):

(-3x² - 6x + 2) = -3x² - 6x + 2

Step 2: Combine like terms

Now, let's combine the like terms. We have:

4x³ - 5x - 7 + x³(5x² + 7x - 9) - 8x(5x² + 7x - 9) - 3x² - 6x + 2

Simplifying further, we get:

4x³ - 5x - 7 + 5x⁵ - 9x⁴ + 7x⁴ - 8x⁲ - 9x³ - 7x² - 8x⁵ + 56x⁴ - 72x³ - 3x² - 6x + 2

Step 3: Combine like terms again

Now, let's combine the like terms once more:

4x³ + 5x⁵ - 9x⁴ + 7x⁴ - 8x⁲ - 9x³ - 7x² - 8x⁵ + 56x⁴ - 72x³ - 3x² - 6x - 5x - 7 + 2

Simplifying further, we get:

5x⁵ - 9x⁴ + 7x⁴ - 8x⁲ - 9x³ + 56x⁴ - 72x³ - 7x² - 5x - 7 - 6x + 2

Step 4: Arrange the terms in descending order of exponents

Finally, let's arrange the terms in descending order of exponents:

5x⁵ + 7x⁴ + 56x⁴ - 9x⁴ - 72x³ - 9x³ - 7x² - 5x - 7 - 6x - 8x⁲ + 2

Simplifying further, we get the simplified expression:

5x⁵ + 54x⁴ - 81x³ - 7x² - 11x - 5

So, the simplified expression for (4x³ - 5x - 7) + (x³ - 8x)(5x² + 7x - 9) + (-3x² - 6x + 2) is 5x⁵ + 54x⁴ - 81x³ - 7x² - 11x - 5.

I hope this helps! Let me know if you have any further questions.