Question

Evaluate the given algebraic expression for x = 7 and y = 3.

2(x + y)^2

400
20
42
200

Answer 1

To evaluate the expression \( 2(x + y)^2 \) for \( x = 7 \) and \( y = 3 \), follow these steps:

1. Substitute the values of \( x \) and \( y \) into the expression:
\[
2(7 + 3)^2
\]

2. Calculate \( 7 + 3 \):
\[
7 + 3 = 10
\]

3. Substitute this value back into the expression:
\[
2(10)^2
\]

4. Calculate \( (10)^2 \):
\[
10^2 = 100
\]

5. Substitute back into the expression:
\[
2 \times 100
\]

6. Finally, multiply:
\[
2 \times 100 = 200
\]

Therefore, the value of the expression \( 2(x + y)^2 \) when \( x = 7 \) and \( y = 3 \) is \( \boxed{200} \).