Final answer:
To multiply the given expression, apply the distribution property. Simplify by merging like terms.
Step-by-step explanation:
To multiply the given expression, we need to apply the distribution property. We multiply each term in the first parenthesis by each term in the second parenthesis.
Let's break it down:
(2u-7)(3u²-6u-4) = 2u(3u²) - 2u(6u) - 2u(4) - 7(3u²) + 7(6u) + 7(4)
Simplifying:
6u³ - 12u² - 8u - 21u² + 42u + 28
Merging like terms:
6u³ - (12u² + 21u²) - 8u + 42u + 28
6u³ - 33u² + 34u + 28
Learn more about Multiplying polynomials