Question

(a² - 8a -5) x (7a² - 4a- 5)

Answer 1

To multiply these two polynomials, we can use the distributive property and multiply each term of the first polynomial by each term of the second polynomial:

(a² - 8a - 5) x (7a² - 4a - 5)

= a²(7a² - 4a - 5) - 8a(7a² - 4a - 5) - 5(7a² - 4a - 5)

= (7a⁴ - 4a³ - 5a²) - (56a³ - 32a² + 40a) - (35a² - 20a - 25)

= 7a⁴ - 60a³ + 83a² - 20a - 25

Therefore, (a² - 8a - 5) x (7a² - 4a- 5) = 7a⁴ - 60a³ + 83a² - 20a - 25.

Answer 2

7a^4 - 60a^3 - 8a^2 + 60a + 25

Explanation:

(a² - 8a -5) x (7a² - 4a- 5)

= 7a^4 - 4a^3 - 5a^2 - 56a^3 + 32a^2 + 40a - 35a^2 + 20a + 25

= 7a^4 - 60a^3 - 8a^2 + 60a + 25

So, the answer is

7a^4 - 60a^3 - 8a^2 + 60a + 25