8
QuizMultiple Choice

Multiplying and Dividing Rational Expressions — Quiz

Question 8 • Mathematics III

Which expression is equivalent to the fraction with numerator c squared minus 4 and denominator c plus 3 divided by the fraction with numerator c plus 2 and denominator 3 times open paren c squared minus 9 close paren ?

Answer
A
the fraction with numerator c plus 3 and denominator c squared minus 4 divided by the fraction with numerator c plus 2 and denominator 3 times open paren c squared minus 9 close paren
B
the fraction with numerator c squared minus 4 and denominator c plus 3 times the fraction with numerator 3 times open paren c squared minus 9 close paren and denominator c plus 2
C
the fraction with numerator c plus 3 and denominator c squared minus 4 times the fraction with numerator c plus 2 and denominator 3 times open paren c squared minus 9 close paren
D
the fraction with numerator c squared minus 4 and denominator c plus 3 divided by the fraction with numerator 3 times open paren c squared minus 9 close paren and denominator c plus 2

Explanation

To divide by a fraction, multiply by its reciprocal. So rewrite the expression as (c² − 4)/(c + 3) × 3(c² − 9)/(c + 2). This matches choice B, which keeps the first fraction and multiplies by the reciprocal of the second fraction.

AI-written and checked against the verified answer.

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