6
QuizMultiple Choice

Multiplying and Dividing Rational Expressions — Quiz

Question 6 • Mathematics III

What is the denominator of the simplified expression? open paren the fraction with numerator 2 n and denominator 6 n plus 4 close paren times open paren the fraction with numerator 3 n plus 2 and denominator 3 n minus 2 close paren

Answer
A
n
B
3 n plus 2
C
2
D
3 n minus 2

Explanation

Factor the first denominator: 6n + 4 = 2(3n + 2). Then cancel the common factors 2 and 3n + 2 in (2n/[2(3n + 2)]) × ((3n + 2)/(3n − 2)), leaving n/(3n − 2). The denominator is 3n − 2, choice D.

AI-written and checked against the verified answer.

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