6
QuizMultiple Choice

Multiplying and Dividing Rational Expressions — Quiz

Question 6 • Algebra: Concepts and Connections

Which division sentence is related to the product of A over 3 times open paren A over 3 close paren when A is not equal to 0 ?

Answer
A
A over 3 divided by 3 over A is equal to 1
B
the fraction with numerator A squared and denominator 9 divided by A over 3 is equal to A over 3
C
the fraction with numerator A squared and denominator 9 divided by 3 over A is equal to 1
D
A over 3 divided by 1 is equal to A over 3

Explanation

The product is (A/3)(A/3) = A²/9. To write a related division sentence, divide the product by one factor to get the other: (A²/9) ÷ (A/3) = A/3. Since A is not 0, A/3 is a valid divisor, so choice B is correct.

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