Final answer:
To find the value of 2(x+y)^2 with x = 7 and y = 3, first calculate the sum of x and y, which is 10. Then square this sum to get 100, and multiply it by 2 to obtain the final answer, which is 200.
Step-by-step explanation:
To find the value of 2(x+y)^2 when x = 7 and y = 3, we first need to calculate the value inside the parentheses, which is x+y. So, we have:
x + y = 7 + 3 = 10
Next, we raise this sum to the power of 2:
(x + y)^2 = 10^2 = 100
Finally, we multiply this result by 2:
2(x + y)^2 = 2 × 100 = 200
The correct answer is option c) 200.