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QuizMultiple Choice

Multiplying and Dividing Rational Expressions — Quiz

Question 1 • Algebra: Concepts and Connections

If A over b and x over y represent rational expressions and b is not equal to 0 and y is not equal to 0 , what is true of their product? Choose three correct answers.

Answer
A
The product is equivalent to A y over b x .
B
The product is equivalent to A over y times open paren x over b close paren .
C
The product is a rational expression.
D
The product is the ratio of A x and b y .
E
The product is equivalent to A x over b times y .

Explanation

Multiply the numerators and denominators: (A/b)(x/y) = Ax/(by), since b and y are both nonzero. This is a rational expression, so C is true; it is also the ratio of Ax to by, making D true. Choice B gives the same product because (A/y)(x/b) = Ax/(by), while choice E places y as a factor outside the denominator.

AI-written and checked against the verified answer.

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