Certainly! Let's work through the expression step-by-step to find the correct product.
Given expression:
[tex]\[ -9x(5 - 2x) \][/tex]
We will apply the distributive property, which involves multiplying each term inside the parentheses by the term outside the parentheses:
1. First term inside parentheses: \(5\)
[tex]\[
-9x \times 5 = -45x
\][/tex]
2. Second term inside parentheses: \(-2x\)
[tex]\[
-9x \times (-2x) = 18x^2
\][/tex]
Now, combine the two terms we just calculated:
[tex]\[
18x^2 - 45x
\][/tex]
So, the product is:
[tex]\[
18x^2 - 45x
\][/tex]
Thus, the correct answer is:
[tex]\[
18 x^2-45 x
\][/tex]
