Answer:
48a^3 + 14a^2 - 52a + 15.
Explanation:
To multiply these two polynomials, we need to use the distributive property and multiply each term of the first polynomial by each term of the second polynomial, like this:
(6a^2 + 4a - 5) x (8a - 3)
= 6a^2 x 8a + 6a^2 x (-3) + 4a x 8a + 4a x (-3) - 5 x 8a - 5 x (-3)
= 48a^3 - 18a^2 + 32a^2 - 12a - 40a + 15
= 48a^3 + 14a^2 - 52a + 15
So the simplified answer is 48a^3 + 14a^2 - 52a + 15.