High School

Let \( f(x, y) = x^2 + 2xy + y^2 \). Find \( f(x, 2x) \) when \( x = 2 \).

Choose the correct answer:

A. 42
B. 32
C. 36
D. 48
E. 24
F. 28
G. 12
H. 16

Answer :

Final answer:

To find the value of f(x, 2x) when f(x, y) = x² + 2xy + y² and x = 2, we substitute the value of x into the expression for f(x, y). The answer is 36.

Explanation:

To find the value of f(x, 2x) when f(x, y) = x² + 2xy + y² and x = 2, we substitute the value of x into the expression for f(x, y). So, f(2, 2(2)) = 2² + 2(2)(2) + (2(2))². Simplifying this expression gives us f(2, 4) = 4 + 16 + 16 = 36.

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