Question

what is the product? -9x(5 - 2x) 18x² - 45x -18x² - 45x -18x - 45x 18x - 45x

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b - c)=ab - ac\), here \(a = - 9x\), \(b = 5\) and \(c=2x\). So we have \(-9x\times5+(-9x)\times(-2x)\)

Step2: Calculate each term

First term: \(-9x\times5=-45x\)
Second term: \((-9x)\times(-2x)=18x^{2}\)

Step3: Combine the terms

Combining the two terms, we get \(18x^{2}-45x\)

Answer:

\(18x^{2}-45x\) (corresponding to the first option: \(18x^{2}-45x\))