College Math CLEP Prep Practice Exam

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What is the result of (3x + 2y)2?

  1. 6x2 + 4xy + 4y2

  2. 9x2 + 12xy + 4y2

  3. 9x2 + 4xy + 4y2

  4. 6x2 + 12xy + 4y2

The correct answer is: 9x2 + 12xy + 4y2

When expanding a binomial squared, the result is always the first term squared plus twice the product of the first and second term plus the second term squared. In this case, the first term is (3x) and the second term is (2y). Therefore, the correct expansion would be 9x2 + 12xy + 4y2, making option B the correct answer. Option A is incorrect because the second term should be 4xy instead of 2xy. Option C is incorrect because the first term should be 9x2 instead of 6x2. Option D is incorrect because the middle term should be 12xy instead of 6xy.

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