Question

Expand the expression from a product to a sum by removing grouping symbols using an area model and the repeated use of the distributive property: 3(x+2y+5z)

Answer 1

To expand the expression 3(x+2y+5z) from a product to a sum, distribute the 3 to each term inside the parentheses and then simplify the expression.

Step-by-step explanation:

To expand the expression 3(x+2y+5z) from a product to a sum by removing grouping symbols, we can use the area model and the distributive property. Here's how:

1. First, distribute the 3 to each term inside the parentheses: 3(x) + 3(2y) + 3(5z)
2. Next, multiply each term inside the parentheses by 3: 3x + 6y + 15z

So, the expanded form of 3(x+2y+5z) as a sum is 3x + 6y + 15z.