Question

(5а²-2а-3) (2а²+2а-5)​

Answer 1

Ответ:

Пошаговое объяснение:

(5а²-2а-3)(2а²+2а-5)​ = 10a⁴ + 10a³ - 25a² - 4a³ - 4a² + 10a - 6a² - 6a + 15 = 10a⁴ + 6a³ - 35a² + 4a + 15

Answer 2

To multiply the two polynomials (5a² - 2a - 3) and (2a² + 2a - 5), we can use the distributive property and multiply each term of the first polynomial by each term of the second polynomial. Let's go through the steps:

(5a² - 2a - 3) * (2a² + 2a - 5)

Step 1: Multiply the first terms of each polynomial. 5a² * 2a² = 10a^4

Step 2: Multiply the first terms of the first polynomial and the second terms of the second polynomial. 5a² * 2a = 10a³

Step 3: Multiply the first terms of the first polynomial and the third terms of the second polynomial. 5a² * -5 = -25a²

Step 4: Multiply the second terms of the first polynomial and the first terms of the second polynomial. -2a * 2a² = -4a³

Step 5: Multiply the second terms of each polynomial. -2a * 2a = -4a²

Step 6: Multiply the second terms of the first polynomial and the third terms of the second polynomial. -2a * -5 = 10a

Step 7: Multiply the third terms of each polynomial. -3 * 2a² = -6a²

Step 8: Multiply the third terms of the first polynomial and the second terms of the second polynomial. -3 * 2a = -6a

Step 9: Multiply the third terms of each polynomial. -3 * -5 = 15

Now, let's combine all the results:

10a^4 + 10a³ - 25a² - 4a³ - 4a² + 10a - 6a² - 6a + 15

Simplifying the terms:

10a^4 + (10a³ - 4a³) + (-25a² - 4a² - 6a²) + (10a - 6a) + 15

Combine like terms:

10a^4 + 6a³ - 35a² + 4a - 6 + 15

Finally, we get the simplified expression:

10a^4 + 6a³ - 35a² + 4a + 9