Question

expand the expression.
2(-3y - 5) = 2(-3y) ? 2(5)

Explanation:

Step1: Recall the distributive property

The distributive property states that \(a(b + c)=ab+ac\) and \(a(b - c)=ab - ac\). Here, we have \(2(-3y - 5)\), which can be seen as \(2[(-3y)+(- 5)]\) or using the subtraction form \(a(b - c)=ab - ac\) where \(a = 2\), \(b=-3y\) and \(c = 5\) (since \(-3y-5=-3y+(-5)\) or using the distributive property for subtraction: \(a(b - c)=ab - ac\)). So when we distribute 2 over \(-3y\) and \(-5\), we get \(2(-3y)-2(5)\). So the operation between \(2(-3y)\) and \(2(5)\) is subtraction.

Answer:

\(-\) (the operation is subtraction, so the symbol is \(-\))