Final answer:
The expression -6u⁵(-8u³+4u²+5) when simplified by distributing becomes 48u⁸ - 24u⁷ - 30u⁵.
Step-by-step explanation:
To rewrite the expression -6u⁵(-8u³+4u²+5) without parentheses and simplify, we need to distribute the term outside the parentheses across each term inside the parentheses. We do this by multiplying -6u⁵ with each of the terms inside the parentheses one by one.
- Multiply -6u5 by -8u3 to get 48u⁸.
- Multiply -6u5 by 4u2 to get -24u⁷.
- Multiply -6u5 by 5 to get -30u⁵.
After distribution, we combine all the products to get the simplified expression:
48u⁸ - 24u⁷ - 30u⁵
We eliminate terms wherever possible to simplify the algebra, and checking the answer shows that it is reasonable.