Final answer:
To find a sum equivalent to the product 2(y+x), distribute the 2 to get the sum 2y+2x, following the distributive property of algebra.
Step-by-step explanation:
The student is asking to represent the product 2(y+x) as a sum. To convert the product to a sum, we distribute the 2 across the terms inside the parentheses. Here's how the expression breaks down step-by-step:
This process is known as the distributive property in algebra, and it allows us to multiply a single term across a sum or difference within parentheses. In summary, to find a sum equivalent to 2(y+x), you distribute the 2 to get 2y+2x.