Question
Evaluate the given algebraic expression for x = 7 and y = 3.
2(x + y)^2
20
42
400
200
2(x + y)^2
20
42
400
200
Answers
GPT-4o mini
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. Now substitute back into the expression:
\[
2(10)^2
\]
4. Calculate \( (10)^2 \):
\[
(10)^2 = 100
\]
5. Multiply by 2:
\[
2 \times 100 = 200
\]
Thus, the value of the expression \( 2(x + y)^2 \) when \( x = 7 \) and \( y = 3 \) is \( \boxed{200} \).
1. Substitute the values of \( x \) and \( y \) into the expression:
\[
2(7 + 3)^2
\]
2. Calculate \( 7 + 3 \):
\[
7 + 3 = 10
\]
3. Now substitute back into the expression:
\[
2(10)^2
\]
4. Calculate \( (10)^2 \):
\[
(10)^2 = 100
\]
5. Multiply by 2:
\[
2 \times 100 = 200
\]
Thus, the value of the expression \( 2(x + y)^2 \) when \( x = 7 \) and \( y = 3 \) is \( \boxed{200} \).