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Problem 1 - Entrance Test

Expand (3x + 4y)^2.

Correct: B

Using the identity (a+b)^2 = a^2 + 2ab + b^2, here a = 3x and b = 4y. So, (3x + 4y)^2 = (3x)^2 + 2(3x)(4y) + (4y)^2 = 9x^2 + 24xy + 16y^2.