Question

simplify the expression: (9 - 5k)(-3) =

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b - c)=ab - ac\), here \(a = - 3\), \(b=9\) and \(c = 5k\). So \((9 - 5k)(-3)=9\times(-3)-5k\times(-3)\)

Step2: Calculate each term

Calculate \(9\times(-3)=- 27\) and \(-5k\times(-3) = 15k\)

Step3: Combine the terms

Combine the two terms we got: \(-27 + 15k\) or \(15k-27\)

Answer:

\(15k - 27\) (or \(-27 + 15k\))