College Algebra CLEP Prep Practice Exam

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Simplify the expression (3x^2 + 5xy + y^2)/(2x + y).

(3x + 5y)(x + y)/2
(3x + 5y)/(2x + y)
x + y/2
(3x + 5y)x/2

The correct answer is: (3x + 5y)/(2x + y)

The given expression is a fraction with terms in the numerator and denominator. In order to simplify it, we need to factor both the numerator and denominator. Option A is incorrect because it is missing a whole term from the numerator. Option C is incorrect because it only simplifies one term and the other term remains unchanged. Option D is incorrect because it simplifies the numerator too much and removes the term with "y" completely. Option B is the correct answer as it factors the numerator and denominator, and only removes the common factor of (3x+5y) from the numerator leaving (2x+y) in the denominator. This is the simplest form of the expression.