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 \(a(b + c)=ab+ac\). For \(-3(2y - 5)\), we distribute \(-3\) to both terms inside the parentheses.
So, \(-3\times(2y)+(-3)\times(-5)\)

Step2: Calculate each term

First, calculate \(-3\times(2y)\): \(-3\times2y=-6y\)
Then, calculate \((-3)\times(-5)\): \((-3)\times(-5) = 15\)
Combine these two results: \(-6y + 15\)

Answer:

B. \(-6y + 15\)