7
QuizMultiple Choice

Multiplying and Dividing Rational Expressions — Quiz

Question 7 • Mathematics III

What is the product? the fraction with numerator A minus 3 and denominator 15 A times the fraction with numerator 5 and denominator A minus 3

Answer
A
1 third
B
3
C
3 A
D
1 over 3 A

Explanation

Multiply the fractions: ((A − 3)/15A) × (5/(A − 3)). The factor A − 3 cancels, and 5/15 simplifies to 1/3, giving 1/(3A). So the product is “1 over 3A,” choice D (for A ≠ 0 and A ≠ 3).

AI-written and checked against the verified answer.

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