Final answer:
The product of −9x(5 − 2x) is found using the distributive property, giving −45x and +18x^2, which simplifies to −18x^2 − 45x.
Step-by-step explanation:
The product of −9x(5 − 2x) can be found by using the distributive property, which involves multiplying −9x by each term inside the parentheses. Here is the step-by-step process:
- Multiply −9x by 5, which equals −45x.
- Multiply −9x by −2x, which equals +18x2 (note the signs: a negative times a negative equals a positive).
When we combine these products, we get +18x2 − 45x.
Therefore, the correct product of −9x(5 − 2x) is −18x2 − 45x.