Respuesta :

Option A gives the correct answer.

The step by step solution using FOIL method is given below:

[tex](9 x^{8}+6)(-4 x^{2} +5) \\ \\ = 9 x^{8} (-4 x^{2} +5) +6(-4 x^{2} +5) \\ \\ =-36 x^{10}+45 x^{8}-24 x^{2} +30 \\ \\ [/tex]
Louli
Answer:
-36x¹⁰ + 45x⁸ - 24x² + 30

Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ

Now, for the given:
To answer the question, we will simply multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.

This can be done as follows:
(9x⁸ + 6)(-4x² + 5)
9x⁸(-4x²) + 9x⁸(5) + 6(-4x²) + 6(5)
-36x¹⁰ + 45x⁸ - 24x² + 30

Hope this helps :)