Question

What is the value of 2(x+y)^2 when x = 7 and y = 3?

a) 50
b) 100
c) 200
d) 400

Answer 1

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.