Question

which expression is equivalent to -3(2y - 5)? a -6y - 15 b -6y + 15 c -6y + 5 d -6y - 8

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = - 3\), \(b = 2y\) and \(c=-5\). So we have \(-3\times(2y-5)=-3\times2y+(-3)\times(-5)\)

Step2: Calculate each term

First, calculate \(-3\times2y=-6y\). Then, calculate \((-3)\times(-5) = 15\). Combining these two results, we get \(-6y + 15\)

Answer:

B. \(-6y + 15\)